Continuous Cohomology Discrete Subgroups And Representations Of Reductive Groups
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Author |
: Armand Borel |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 282 |
Release |
: 2013-11-21 |
ISBN-10 |
: 9781470412258 |
ISBN-13 |
: 147041225X |
Rating |
: 4/5 (58 Downloads) |
Synopsis Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups by : Armand Borel
It has been nearly twenty years since the first edition of this work. In the intervening years, there has been immense progress in the use of homological algebra to construct admissible representations and in the study of arithmetic groups. This second edition is a corrected and expanded version of the original, which was an important catalyst in the expansion of the field. Besides the fundamental material on cohomology and discrete subgroups present in the first edition, this edition also contains expositions of some of the most important developments of the last two decades.
Author |
: J. Carmona |
Publisher |
: Springer |
Total Pages |
: 562 |
Release |
: 2006-11-14 |
ISBN-10 |
: 9783540387831 |
ISBN-13 |
: 3540387838 |
Rating |
: 4/5 (31 Downloads) |
Synopsis Non Commutative Harmonic Analysis and Lie Groups by : J. Carmona
Author |
: Eng-chye Tan |
Publisher |
: World Scientific |
Total Pages |
: 426 |
Release |
: 2004 |
ISBN-10 |
: 9789812562500 |
ISBN-13 |
: 9812562508 |
Rating |
: 4/5 (00 Downloads) |
Synopsis Representations of Real and P-adic Groups by : Eng-chye Tan
This invaluable volume collects the expanded lecture notes of thosetutorials. The topics covered include uncertainty principles forlocally compact abelian groups, fundamentals of representations of"p"-adic groups, the Harish?Chandra?Howe local characterexpansion, classification of the square-integrable representationsmodulo cuspidal data, Dirac cohomology and Vogan's conjecture, multiplicity-free actions and Schur?Weyl?Howe duality.
Author |
: Jian-shu Li |
Publisher |
: World Scientific |
Total Pages |
: 446 |
Release |
: 2007-11-12 |
ISBN-10 |
: 9789814474405 |
ISBN-13 |
: 9814474401 |
Rating |
: 4/5 (05 Downloads) |
Synopsis Harmonic Analysis, Group Representations, Automorphic Forms And Invariant Theory: In Honor Of Roger E Howe by : Jian-shu Li
This volume carries the same title as that of an international conference held at the National University of Singapore, 9-11 January 2006 on the occasion of Roger E. Howe's 60th birthday. Authored by leading members of the Lie theory community, these contributions, expanded from invited lectures given at the conference, are a fitting tribute to the originality, depth and influence of Howe's mathematical work. The range and diversity of the topics will appeal to a broad audience of research mathematicians and graduate students interested in symmetry and its profound applications.
Author |
: T. N. Bailey |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 490 |
Release |
: 1997 |
ISBN-10 |
: 9780821806098 |
ISBN-13 |
: 0821806092 |
Rating |
: 4/5 (98 Downloads) |
Synopsis Representation Theory and Automorphic Forms by : T. N. Bailey
The lectures from a course in the representation theory of semi- simple groups, automorphic forms, and the relations between them. The purpose is to help analysts make systematic use of Lie groups in work on harmonic analysis, differential equations, and mathematical physics; and to provide number theorists with the representation-theoretic input to Wiles's proof of Fermat's Last Theorem. Begins with an introductory treatment of structure theory and ends with the current status of functionality. Annotation copyrighted by Book News, Inc., Portland, OR
Author |
: Jaques Carmona |
Publisher |
: Springer |
Total Pages |
: 314 |
Release |
: 2006-11-15 |
ISBN-10 |
: 9783540477754 |
ISBN-13 |
: 3540477756 |
Rating |
: 4/5 (54 Downloads) |
Synopsis Non-Commutative Harmonic Analysis and Lie Groups by : Jaques Carmona
All the papers in this volume are research papers presenting new results. Most of the results concern semi-simple Lie groups and non-Riemannian symmetric spaces: unitarisation, discrete series characters, multiplicities, orbital integrals. Some, however, also apply to related fields such as Dirac operators and characters in the general case.
Author |
: Katsumi Nomizu |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 160 |
Release |
: 1997 |
ISBN-10 |
: 0821808400 |
ISBN-13 |
: 9780821808405 |
Rating |
: 4/5 (00 Downloads) |
Synopsis Selected Papers on Harmonic Analysis, Groups, and Invariants by : Katsumi Nomizu
The five papers originally appeared in Japanese in the journal Sugaku and would ordinarily appear in the Society's translation of that journal, but are published separately here to expedite their dissemination. They explore such aspects as representation theory, differential geometry, invariant theory, and complex analysis. No index. Member prices are $47 for institutions and $35 for individual. Annotation copyrighted by Book News, Inc., Portland, OR.
Author |
: Michael Cowling |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 400 |
Release |
: 2008-02-27 |
ISBN-10 |
: 9783540768913 |
ISBN-13 |
: 3540768912 |
Rating |
: 4/5 (13 Downloads) |
Synopsis Representation Theory and Complex Analysis by : Michael Cowling
Six leading experts lecture on a wide spectrum of recent results on the subject of the title. They present a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces, and recall the concept of amenability. They further illustrate how representation theory is related to quantum computing; and much more. Taken together, this volume provides both a solid reference and deep insights on current research activity.
Author |
: Shmuel Weinberger |
Publisher |
: Princeton University Press |
Total Pages |
: 190 |
Release |
: 2020-12-08 |
ISBN-10 |
: 9780691222462 |
ISBN-13 |
: 0691222460 |
Rating |
: 4/5 (62 Downloads) |
Synopsis Computers, Rigidity, and Moduli by : Shmuel Weinberger
This book is the first to present a new area of mathematical research that combines topology, geometry, and logic. Shmuel Weinberger seeks to explain and illustrate the implications of the general principle, first emphasized by Alex Nabutovsky, that logical complexity engenders geometric complexity. He provides applications to the problem of closed geodesics, the theory of submanifolds, and the structure of the moduli space of isometry classes of Riemannian metrics with curvature bounds on a given manifold. Ultimately, geometric complexity of a moduli space forces functions defined on that space to have many critical points, and new results about the existence of extrema or equilibria follow. The main sort of algorithmic problem that arises is recognition: is the presented object equivalent to some standard one? If it is difficult to determine whether the problem is solvable, then the original object has doppelgängers--that is, other objects that are extremely difficult to distinguish from it. Many new questions emerge about the algorithmic nature of known geometric theorems, about "dichotomy problems," and about the metric entropy of moduli space. Weinberger studies them using tools from group theory, computability, differential geometry, and topology, all of which he explains before use. Since several examples are worked out, the overarching principles are set in a clear relief that goes beyond the details of any one problem.
Author |
: J. E. Humphreys |
Publisher |
: Springer |
Total Pages |
: 166 |
Release |
: 2006-11-14 |
ISBN-10 |
: 9783540391982 |
ISBN-13 |
: 3540391983 |
Rating |
: 4/5 (82 Downloads) |
Synopsis Arithmetic Groups by : J. E. Humphreys