Analysis On Homogeneous Spaces And Representation Theory Of Lie Groups Okayama Kyoto
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Analysis On Homogeneous Spaces And Representation Theory Of Lie Groups Okayama Kyoto
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Author : Toshiyuki Kobayashi
language : en
Publisher: Japan Playwrights Association
Release Date : 2000
Analysis On Homogeneous Spaces And Representation Theory Of Lie Groups Okayama Kyoto written by Toshiyuki Kobayashi and has been published by Japan Playwrights Association this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This volume is an outgrowth of the activities of the RIMS Research Project, which presented symposia offering both individual lectures on specialized topics and expository courses on current research. The subjects therein reflect very active areas in the representation theory of Lie groups. Also included are various topical interactions with geometry of homogeneous spaces, automorphic forms, quantum groups, special functions, discrete groups, differential equations, and others. Comprising results from active areas of research, this volume should serve as an excellent guide to the representation theory of Lie groups.
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.
Representation Theory And Automorphic Forms
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Author : Toshiyuki Kobayashi
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-10
Representation Theory And Automorphic Forms written by Toshiyuki Kobayashi 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 2007-10-10 with Mathematics categories.
This volume uses a unified approach to representation theory and automorphic forms. It collects papers, written by leading mathematicians, that track recent progress in the expanding fields of representation theory and automorphic forms and their association with number theory and differential geometry. Topics include: Automorphic forms and distributions, modular forms, visible-actions, Dirac cohomology, holomorphic forms, harmonic analysis, self-dual representations, and Langlands Functoriality Conjecture, Both graduate students and researchers will find inspiration in this volume.
Representations Of Reductive Groups
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Author : Monica Nevins
language : en
Publisher: Birkhäuser
Release Date : 2015-12-18
Representations Of Reductive Groups written by Monica Nevins and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-18 with Mathematics categories.
Over the last forty years, David Vogan has left an indelible imprint on the representation theory of reductive groups. His groundbreaking ideas have lead to deep advances in the theory of real and p-adic groups, and have forged lasting connections with other subjects, including number theory, automorphic forms, algebraic geometry, and combinatorics. Representations of Reductive Groups is an outgrowth of the conference of the same name, dedicated to David Vogan on his 60th birthday, which took place at MIT on May 19-23, 2014. This volume highlights the depth and breadth of Vogan's influence over the subjects mentioned above, and point to many exciting new directions that remain to be explored. Notably, the first article by McGovern and Trapa offers an overview of Vogan's body of work, placing his ideas in a historical context. Contributors: Pramod N. Achar, Jeffrey D. Adams, Dan Barbasch, Manjul Bhargava, Cédric Bonnafé, Dan Ciubotaru, Meinolf Geck, William Graham, Benedict H. Gross, Xuhua He, Jing-Song Huang, Toshiyuki Kobayashi, Bertram Kostant, Wenjing Li, George Lusztig, Eric Marberg, William M. McGovern, Wilfried Schmid, Kari Vilonen, Diana Shelstad, Peter E. Trapa, David A. Vogan, Jr., Nolan R. Wallach, Xiaoheng Wang, Geordie Williamson
Geometric Analysis And Integral Geometry
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Author : Eric Todd Quinto
language : en
Publisher: American Mathematical Soc.
Release Date : 2013
Geometric Analysis And Integral Geometry written by Eric Todd Quinto and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
Provides an historical overview of several decades in integral geometry and geometric analysis as well as recent advances in these fields and closely related areas. It contains several articles focusing on the mathematical work of Sigurdur Helgason, including an overview of his research by Gestur Olafsson and Robert Stanton.
Lie Theory
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Author : Jean-Philippe Anker
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-25
Lie Theory written by Jean-Philippe Anker 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 2006-02-25 with Mathematics categories.
* Focuses on two fundamental questions related to semisimple Lie groups: the geometry of Riemannian symmetric spaces and their compactifications, and branching laws for unitary representations * Wide applications of compactification techniques * Concrete examples and relevant exercises engage the reader * Knowledge of basic representation theory of Lie groups, semisimple Lie groups and symmetric spaces is required
Representations Of Algebraic Groups
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Author : Jens Carsten Jantzen
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Representations Of Algebraic Groups written by Jens Carsten Jantzen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Linear algebraic groups categories.
Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.
Representation Theory Of Lie Groups And Lie Algebras Proceedings Of Fuji Kawaguchiko Conference
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Author : Takeshi Kawazoe
language : en
Publisher: World Scientific
Release Date : 1992-08-07
Representation Theory Of Lie Groups And Lie Algebras Proceedings Of Fuji Kawaguchiko Conference written by Takeshi Kawazoe and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-08-07 with categories.
The proceedings in this volume covers recent developments of representation theory of real Lie groups, Lie algebras, harmonic analysis on homogeneous spaces, their applications and related topics.
Schr Dinger Operators Spectral Analysis And Number Theory
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Author : Sergio Albeverio
language : en
Publisher: Springer Nature
Release Date : 2021-06-03
Schr Dinger Operators Spectral Analysis And Number Theory written by Sergio Albeverio and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-03 with Mathematics categories.
This book gives its readers a unique opportunity to get acquainted with new aspects of the fruitful interactions between Analysis, Geometry, Quantum Mechanics and Number Theory. The present book contains a number of contributions by specialists in these areas as an homage to the memory of the mathematician Erik Balslev and, at the same time, advancing a fascinating interdisciplinary area still full of potential. Erik Balslev has made original and important contributions to several areas of Mathematics and its applications. He belongs to the founders of complex scaling, one of the most important methods in the mathematical and physical study of eigenvalues and resonances of Schrödinger operators, which has been very essential in advancing the solution of fundamental problems in Quantum Mechanics and related areas. He was also a pioneer in making available and developing spectral methods in the study of important problems in Analytic Number Theory.
Connected At Infinity Ii A Selection Of Mathematics By Indians
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Author : Rajendra Bhatia
language : en
Publisher: Springer
Release Date : 2013-01-01
Connected At Infinity Ii A Selection Of Mathematics By Indians written by Rajendra Bhatia and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-01 with Mathematics categories.