40 pages ; 22 cm
Topics: Number theory, Galois theory, Galois theory, Number theory
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5.0
Jul 23, 2021
07/21
by
Puschnigg, Michael, 1959-
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xxiii, 238 p. ; 24 cm
Topics: Homology theory, K-theory, KK-theory, Index theory (Mathematics)
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3.0
Apr 25, 2022
04/22
by
Adams, J. Frank (John Frank)
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x, 373 p. ; 21 cm
Topics: Homotopy theory, Homology theory, Cobordism theory
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18
Jun 26, 2018
06/18
by
Wei Wang
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To $2$-categorify the theory of group representations, we introduce the notions of the $3$-representation of a group in a strict $3$-category and the strict $2$-categorical action of a group on a strict $2$-category. We also $2$-categorify the concept of the trace by introducing the $2$-categorical trace of a $1$-endomorphism in a strict $3$-category. For a $3$-representation $\rho$ of a group $G$ and an element $f$ of $G$, the $2$-categorical trace $\mathbb{T}r_2 \rho_f $ is a category....
Topics: Category Theory, Mathematics, Representation Theory, Group Theory
Source: http://arxiv.org/abs/1502.04191
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2.0
May 19, 2022
05/22
by
Baggeroer, Arthur B
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xii, 198 p. 24 cm
Topics: Signal theory (Telecommunication), Estimation theory, Control theory
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6.0
Jun 30, 2018
06/18
by
Georg Tamme
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We prove a comparison theorem between locally analytic group cohomology and Lie algebra cohomology for locally analytic representations of a Lie group over a nonarchimedean field of characteristic 0. The proof is similar to that of van-Est's isomorphism and uses only a minimum of functional analysis.
Topics: Mathematics, Number Theory, Representation Theory, Group Theory
Source: http://arxiv.org/abs/1408.4301
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Jun 29, 2018
06/18
by
Jesús Ibarra; Alberto G. Raggi-Cárdenas; Nadia Romero
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Let $R$ be a commutative unital ring. We construct a category $\mathcal{C}_R$ of fractions $X/G$, where $G$ is a finite group and $X$ is a finite $G$-set, and with morphisms given by $R$-linear combinations of spans of bisets. This category is an additive, symmetric monoidal and self-dual category, with a Krull-Schmidt decomposition for objects. We show that $\mathcal{C}_R$ is equivalent to the additive completion of the biset category and that the category of biset functors over $R$ is...
Topics: Category Theory, Group Theory, Representation Theory, Mathematics
Source: http://arxiv.org/abs/1610.00808
pte. 1. Teoria dei gruppi di sostituzioni -- pte. 2. Teoria delle equazioni algebriche secondo Galois
Topics: Group theory, Equations, Theory of, Galois theory
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6.0
Jun 29, 2018
06/18
by
Gaëtan Chenevier
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As is well-known, the compact groups Spin(7) and SO(7) both have a single conjugacy class of compact subgroups of exceptional type G_2. We first show that if H is a subgroup of Spin(7), and if each element of H is conjugate to some element of G_2, then H itself is conjugate to a subgroup of G_2. The analogous statement for SO(7) turns out be false, and our main result is a classification of all the exceptions. They are the following groups, embedded in each case in SO(7) in a very specific way:...
Topics: Number Theory, Group Theory, Representation Theory, Mathematics
Source: http://arxiv.org/abs/1606.02991
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Jun 29, 2018
06/18
by
Aaron Landesman; Ashvin Swaminathan; James Tao; Yujie Xu
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For a positive integer $g$, let $\mathrm{Sp}_{2g}(R)$ denote the group of $2g \times 2g$ symplectic matrices over a ring $R$. Assume $g \ge 2$. For a prime number $\ell$, we give a self-contained proof that any closed subgroup of $\mathrm{Sp}_{2g}(\mathbb{Z}_\ell)$ which surjects onto $\mathrm{Sp}_{2g}(\mathbb{Z}/\ell\mathbb{Z})$ must in fact equal all of $\mathrm{Sp}_{2g}(\mathbb{Z}_\ell)$. The result and the method of proof are both motivated by group-theoretic considerations that arise in...
Topics: Number Theory, Group Theory, Representation Theory, Mathematics
Source: http://arxiv.org/abs/1607.04698
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Jun 28, 2018
06/18
by
Duong Hoang Dung
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We present a conjectured formula for the representation zeta function of the Heisenberg group over $\mathcal{O}[x]/(x^n)$ where $\mathcal{O}$ is the ring of integers of some number field. We confirm the conjecture for $n\leq 3$ and raise several questions.
Topics: Group Theory, Number Theory, Mathematics, Representation Theory
Source: http://arxiv.org/abs/1508.03507
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6.0
Jun 30, 2018
06/18
by
Robert Guralnick; Florian Herzig; Pham Huu Tiep
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The notion of adequate subgroups was introduced by Jack Thorne [59]. It is a weakening of the notion of big subgroups used by Wiles and Taylor in proving automorphy lifting theorems for certain Galois representations. Using this idea, Thorne was able to strengthen many automorphy lifting theorems. It was shown in [22] and [23] that if the dimension is smaller than the characteristic then almost all absolutely irreducible representations are adequate. We extend the results by considering all...
Topics: Mathematics, Number Theory, Representation Theory, Group Theory
Source: http://arxiv.org/abs/1405.0043
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5.0
Jun 30, 2018
06/18
by
Ashvin Swaminathan
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The action of the absolute Galois group $\text{Gal}(K^{\text{ksep}}/K)$ of a global field $K$ on a tree $T(\phi, \alpha)$ of iterated preimages of $\alpha \in \mathbb{P}^1(K)$ under $\phi \in K(x)$ with $\text{deg}(\phi) \geq 2$ induces a homomorphism $\rho: \text{Gal}(K^{\text{ksep}}/K) \to \text{Aut}(T(\phi, \alpha))$, which is called an arboreal Galois representation. In this paper, we address a number of questions posed by Jones and Manes about the size of the group $G(\phi,\alpha) :=...
Topics: Mathematics, Number Theory, Representation Theory, Group Theory
Source: http://arxiv.org/abs/1407.7012
Includes bibliographical references
Topics: Ramsey theory, Graph theory
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6.0
Oct 7, 2020
10/20
by
Freĭman, G. A
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vii, 108 p. 24 cm
Topics: Number theory, Set theory
"UILU-ENG 79-1713."
Topics: Graph theory, Matching theory
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41
May 20, 2019
05/19
by
Togneri, Roberto
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xii, 385 p. : 24 cm
Topics: Information theory, Coding theory
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1.0
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123 p
Topics: K-theory, Group theory
Includes bibliographical references
Topics: Ramsey theory, Graph theory
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2.0
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x, 221 p. : 24 cm
Topics: Information theory, System theory
Habilitationschrift--Marburg
Topics: Number theory, Galois theory
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74
Jul 31, 2019
07/19
by
Hodges, Wilfrid
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311 p. : 24 cm
Topics: Game theory, Model theory
Source: removedNEL
518
518
Oct 20, 2008
10/08
by
Barnett, S. J. ( Samuel Jackson), 1873-1956
texts
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Book digitized by Google from the library of the New York Public Library and uploaded to the Internet Archive by user tpb.
Topics: Electromagnetic theory, Electromagnetic theory
Source: http://books.google.com/books?id=LRoJAAAAIAAJ&oe=UTF-8
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249
May 15, 2017
05/17
by
Poinsot, Louis, 1777-1859. nb2003103094
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"Extrait du Journal de Mathématiques pures et appliquées, tome X, 1845."
Topics: Number theory, Number theory
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46
Jan 15, 2018
01/18
by
Daniel Ellsberg
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Outline of Risk, Ambiguity, and Decision.
Topics: decision theory, game theory
The contemporary traveler is not the traveler of the azure fields of Rimbaud, who ran in the frenzied splashing of the tides, with a mind less obedient then a child's; neither is he the sailor of Baudelaire, the curious explorer who faces Eldorado, the gift that Fate had promised him. He does not resemble the decisive wanderer, the nomad of Isabelle Eberhardt who is everywhere at home, alone, poor in needs, away from family, property and a permanent job.
Topics: theory, practical theory, anarchism
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Jan 16, 2018
01/18
by
Daniel Ellsberg
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Notes taken during Ellsberg's time studying economics and systems theory at Harvard.
Topics: decision theory, game theory
505
505
Nov 6, 2015
11/15
by
Cotton, F. Albert (Frank Albert), 1930-2007
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"A Wiley-Interscience Publication."
favoritefavoritefavoritefavoritefavorite ( 1 reviews )
Topics: Molecular theory, Group theory
898
898
Jan 30, 2008
01/08
by
Coelingh, Derk, 1861-
texts
eye 898
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Book digitized by Google from the library of the University of Michigan and uploaded to the Internet Archive by user tpb.
Topics: Group theory, Galois theory
Source: http://books.google.com/books?id=sVo4AAAAMAAJ&oe=UTF-8
64 pages 29 cm
Topics: Group theory, Group theory
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Jul 2, 2019
07/19
by
Grossman, Israel, 1909-
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vii, 195 p. : 23 cm
Topics: Graph theory, Group theory
The Theory of Search Games and Rendezvous Author: Steve Alpern, Shmuel Gal Published by Springer US ISBN: 978-0-7923-7468-8 DOI: 10.1007/b100809 Table of Contents: Introduction to Search Games General Framework Search for an Immobile Hider Search for a Mobile Hider Miscellaneous Search Games General Framework On Minimax Properties of Geometric Trajectories Search on the Infinite Line Star and Plan Search Introduction to Rendezvous Search Elementary Results and Examples Rendezvous Values of a...
Topics: Search theory, Game theory
Folkscanomy Miscellaneous
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251
Dec 30, 2015
12/15
by
Arcangeli, R. (Rémi); Lopez de Silanes, María Cruz; Torrens, Juan José
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Multidimensional Minimizing Splines: Theory and Applications Author: Rémi Arcangéli, María Cruz López de Silanes, Juan José Torrens Published by Springer US ISBN: 978-1-4020-7786-9 DOI: 10.1007/b130045 Table of Contents: The spaces Xm, s Interpolating (m, s)-Splines Smoothing (m, s)-Splines (m,l,s)-Splines Dm-Splines Over Ω Discrete Dm-Splines Univariate Dm-Splines Construction of Explicit Surfaces from Large Data Sets Approximation of Faulted Explicit Surfaces Fitting an Explicit Surface...
Topics: Spline theory, Approximation theory
2 p. L., [iii]-viii, 270 p., 1 L. 24 cm
Topics: Group theory, Number theory
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Jul 27, 2019
07/19
by
Leech, J. W. (John Watson)
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133 p. : 19 cm.--
Topics: Group theory, Quantum theory
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6.0
Jun 28, 2018
06/18
by
Frank Lübeck; Robert Guralnick; Jun Yu
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We prove the existence of certain rationally rigid triples in F_4(p) for good primes p (i.e., p>3), thereby showing that these groups occur as regular Galois groups over Q(t) and so also over Q. We show that these triples give rise to rigid triples in the algebraic group and prove that they generate an interesting subgroup in characteristic 0.
Topics: Group Theory, Representation Theory, Number Theory, Mathematics
Source: http://arxiv.org/abs/1511.06871
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5.0
Jun 30, 2018
06/18
by
Yury A. Neretin
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We extend the Weil representation of infinite-dimensional symplectic group to a representation a certain category of linear relations.
Topics: Group Theory, Category Theory, Representation Theory, Mathematics
Source: http://arxiv.org/abs/1703.07238
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7.0
Feb 22, 2022
02/22
by
Świerczkowski, S
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73 p. 19 cm
Topics: Set theory, Number theory
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Nov 22, 2021
11/21
by
Hamming, R. W. (Richard Wesley), 1915-1998
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xii, 239 p. : 24 cm
Topics: Coding theory, Information theory
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78
Jan 15, 2018
01/18
by
Daniel Ellsberg
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Decision theory paper written by Ellsberg during his time at Harvard.
Topics: decision theory, game theory
[3]-141, [2] pages ; 23 cm
Topics: Group theory, Group theory
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46
May 7, 2021
05/21
by
Karg-Elert, Sigfrid; Karg-Elert, Sigfrid, 1877-1933
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eye 46
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2 volumes in 3 : 25 cm
Topics: Music theory, Music theory
831
831
Apr 21, 2008
04/08
by
Jordan, Camille, 1838-1922
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eye 831
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Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.
Topics: Group theory, Galois theory
Source: http://books.google.com/books?id=55cKAAAAYAAJ&oe=UTF-8
551
551
Jul 1, 2008
07/08
by
Lejeune Dirichlet, Peter Gustav, 1805-1859
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Book digitized by Google from the library of Oxford University and uploaded to the Internet Archive by user tpb.
Topics: Number theory, Number theory
Source: http://books.google.com/books?id=fH2dtR9v5HoC&oe=UTF-8
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11
Jan 14, 2022
01/22
by
Bloch, Ethan D., 1956-
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eye 11
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xxiv, 359 p. : 25 cm
Topics: Proof theory, Set theory
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122
Mar 31, 2016
03/16
by
Merritt, Thomas Parker, 1914-
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eye 122
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ii, 51, iii-iv
Topics: Lattice theory, Quantum theory
4 pages : 23 cm
Topics: Missions -- Theory, Evangelicalism -- Theory
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9.0
Jun 30, 2018
06/18
by
Toshiyuki Kobayashi
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For a pair of reductive groups $G \supset G'$, we prove a geometric criterion for the space $Sh(\lambda, \nu)$ of Shintani functions to be finite-dimensional in the Archimedean case. This criterion leads us to a complete classification of the symmetric pairs $(G,G')$ having finite-dimensional Shintani spaces. A geometric criterion for uniform boundedness of $dim Sh(\lambda, \nu)$ is also obtained. Furthermore, we prove that symmetry breaking operators of the restriction of smooth admissible...
Topics: Mathematics, Number Theory, Representation Theory, Group Theory
Source: http://arxiv.org/abs/1401.0117
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27
Jun 27, 2018
06/18
by
Tobias Finis; Erez Lapid
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This is a sequel to arXiv:1308.3604. We study applications to limit multiplicity generalizing the results of arXiv:1208.2257.
Topics: Spectral Theory, Representation Theory, Mathematics, Number Theory
Source: http://arxiv.org/abs/1504.04795
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Jun 28, 2018
06/18
by
Supriya Pisolkar; C. S. Rajan
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Let $G$ be a connected, absolutely almost simple, algebraic group defined over a finitely generated, infinite field $K$, and let $\Gamma$ be a Zariski dense subgroup of $G(K)$. We show, apart from some few exceptions, that the commensurability class of the field $\mathcal{F}$ given by the compositum of the splitting fields of characteristic polynomials of generic elements of $\Gamma$ determines the group $G$ upto isogeny over the algebraic closure of $K$.
Topics: Group Theory, Number Theory, Mathematics, Spectral Theory
Source: http://arxiv.org/abs/1508.01348
