Direct Limits Of Zuckerman Derived Functor Modules

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Direct Limits Of Zuckerman Derived Functor Modules

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Author : Amber Habib
language : en
Publisher:
Release Date : 1997

Direct Limits Of Zuckerman Derived Functor Modules written by Amber Habib and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.

Journal Of Lie Theory

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Author :
language : en
Publisher:
Release Date : 2000

Journal Of Lie Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Lie algebras categories.

Weight Modules Of Infinite Dimensional Lie Algebras And Lie Superalgebras

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Author : Ivan Kolev Dimitrov
language : en
Publisher:
Release Date : 1998

Weight Modules Of Infinite Dimensional Lie Algebras And Lie Superalgebras written by Ivan Kolev Dimitrov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Lie algebras categories.

Geometry And Representation Theory Of Real And P Adic Groups

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Author : Juan Tirao
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Geometry And Representation Theory Of Real And P Adic Groups written by Juan Tirao and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

The representation theory of Lie groups plays a central role in both clas sical and recent developments in many parts of mathematics and physics. In August, 1995, the Fifth Workshop on Representation Theory of Lie Groups and its Applications took place at the Universidad Nacional de Cordoba in Argentina. Organized by Joseph Wolf, Nolan Wallach, Roberto Miatello, Juan Tirao, and Jorge Vargas, the workshop offered expository courses on current research, and individual lectures on more specialized topics. The present vol ume reflects the dual character of the workshop. Many of the articles will be accessible to graduate students and others entering the field. Here is a rough outline of the mathematical content. (The editors beg the indulgence of the readers for any lapses in this preface in the high standards of historical and mathematical accuracy that were imposed on the authors of the articles. ) Connections between flag varieties and representation theory for real re ductive groups have been studied for almost fifty years, from the work of Gelfand and Naimark on principal series representations to that of Beilinson and Bernstein on localization. The article of Wolf provides a detailed introduc tion to the analytic side of these developments. He describes the construction of standard tempered representations in terms of square-integrable partially harmonic forms (on certain real group orbits on a flag variety), and outlines the ingredients in the Plancherel formula. Finally, he describes recent work on the complex geometry of real group orbits on partial flag varieties.

D Modules And Spherical Representations

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Author : Frédéric V. Bien
language : en
Publisher: Princeton University Press
Release Date : 2014-07-14

D Modules And Spherical Representations written by Frédéric V. Bien and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-14 with Mathematics categories.

The theory of D-modules deals with the algebraic aspects of differential equations. These are particularly interesting on homogeneous manifolds, since the infinitesimal action of a Lie algebra consists of differential operators. Hence, it is possible to attach geometric invariants, like the support and the characteristic variety, to representations of Lie groups. By considering D-modules on flag varieties, one obtains a simple classification of all irreducible admissible representations of reductive Lie groups. On the other hand, it is natural to study the representations realized by functions on pseudo-Riemannian symmetric spaces, i.e., spherical representations. The problem is then to describe the spherical representations among all irreducible ones, and to compute their multiplicities. This is the goal of this work, achieved fairly completely at least for the discrete series representations of reductive symmetric spaces. The book provides a general introduction to the theory of D-modules on flag varieties, and it describes spherical D-modules in terms of a cohomological formula. Using microlocalization of representations, the author derives a criterion for irreducibility. The relation between multiplicities and singularities is also discussed at length. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Dissertation Abstracts International

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Author :
language : en
Publisher:
Release Date : 1998

Dissertation Abstracts International written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Dissertations, Academic categories.

Symmetry In Geometry And Analysis Volume 3

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Author : Michael Pevzner
language : en
Publisher: Springer Nature
Release Date : 2025-02-10

Symmetry In Geometry And Analysis Volume 3 written by Michael Pevzner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-10 with Mathematics categories.

Symmetry in Geometry and Analysis is a Festschrift honoring Toshiyuki Kobayashi. The three volumes feature 35 selected contributions from invited speakers of twin conferences held in June 2022 in Reims, France, and in September 2022 in Tokyo, Japan. These contributions highlight the profound impact of Prof. Kobayashi’s pioneering ideas, groundbreaking discoveries, and significant achievements in the development of analytic representation theory, noncommutative harmonic analysis, and the geometry of discontinuous groups beyond the Riemannian context, among other areas, over the past four decades. This third volume of the Festschrift contains original articles on branching problems in representation theory of reductive Lie groups and related topics. Contributions are by Ali Baklouti, Hidenori Fujiwara, Dmitry Gourevitch, Masatoshi Kitagawa, Salma Nasrin, Yoshiki Oshima, and Petr Somberg.

American Doctoral Dissertations

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Author :
language : en
Publisher:
Release Date : 1997

American Doctoral Dissertations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Dissertation abstracts categories.

Representations Of Lie Groups Kyoto Hiroshima 1986

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Author : K. Okamoto
language : en
Publisher: Academic Press
Release Date : 2014-07-22

Representations Of Lie Groups Kyoto Hiroshima 1986 written by K. Okamoto and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-22 with Mathematics categories.

Representations of Lie Groups, Kyoto, Hiroshima, 1986 contains the proceedings of a symposium on "Analysis on Homogeneous Spaces and Representations of Lie Groups" held on September 1-6, 1986 in Japan. The symposium provided a forum for discussing Lie groups and covered topics ranging from geometric constructions of representations to the irreducibility of discrete series representations for semisimple symmetric spaces. A classification theory of prehomogeneous vector spaces is also described. Comprised of 22 chapters, this volume first considers the characteristic varieties of certain modules over the enveloping algebra of a semisimple Lie algebra, such as highest weight modules and primitive quotients. The reader is then introduced to multiplicity one theorems for generalized Gelfand-Graev representations of semisimple Lie groups and Whittaker models for the discrete series. Subsequent chapters focus on Lie algebra cohomology and holomorphic continuation of generalized Jacquet integrals; the generalized Geroch conjecture; algebraic structures on virtual characters of a semisimple Lie group; and fundamental groups of semisimple symmetric spaces. The book concludes with an analysis of the boundedness of certain unitarizable Harish-Chandra modules. This monograph will appeal to students, specialists, and researchers in the field of pure mathematics.

Annales Scientifiques De L Cole Normale Sup Rieure

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Author :
language : en
Publisher:
Release Date : 1998-05

Annales Scientifiques De L Cole Normale Sup Rieure written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05 with Mathematics categories.