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Title Studies in lie theory : dedicated to A. Joseph on his sixtieth birthday / Joseph Bernstein, Vladimir Hinich, Anna Melnikov, editors
Published Boston : Birkhäuser, ©2006

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Description 1 online resource (xxii, 494 pages) : illustrations
Series Progress in mathematics ; v. 243
Progress in mathematics (Boston, Mass.) ; v. 243.
Contents Survey and Review -- The work of Anthony Joseph in classical representation theory -- Quantized representation theory following Joseph -- Research Articles -- Opérateurs différentiels invariants et problème de Noether -- Langlands parameters for Heisenberg modules -- Instanton counting via affine Lie algebras II: From Whittaker vectors to the Seiberg-Witten prepotential -- Irreducibility of perfect representations of double affine Hecke algebras -- Algebraic groups over a 2-dimensional local field: Some further constructions -- Modules with a Demazure flag -- Microlocalization of ind-sheaves -- Endoscopic decomposition of certain depth zero representations -- Odd family algebras -- Gelfand-Zeitlin theory from the perspective of classical mechanics. I -- Extensions of algebraic groups -- Differential operators and cohomology groups on the basic affine space -- A q-analogue of an identity of N. Wallach -- Centralizers in the quantum plane algebra -- Centralizer construction of the Yangian of the queer Lie superalgebra -- Definitio nova algebroidis verticiani
Summary Dedicated to Anthony Joseph, this volume contains surveys and invited articles by leading specialists in representation theory. The focus here is on semisimple Lie algebras and quantum groups, where the impact of Joseph's work has been seminal and has changed the face of the subject. Two introductory biographical overviews of Joseph's contributions in classical representation theory (the theory of primitive ideals in semisimple Lie algebras) and quantized representation theory (the study of the quantized enveloping algebra) are followed by 16 research articles covering a number of varied and interesting topics in representation theory. Contributors: J. Alev; A. Beilinson; A. Braverman; I. Cherednik; J. Dixmier; F. Dumas; P. Etingof; D. Farkas; D. Gaitsgory; F. Ivorra; A. Joseph; D. Joseph; M. Kashiwara; D. Kazhdan; A.A. Kirillov; B. Kostant; S. Kumar; G. Letzter; T. Levasseur; G. Lusztig; L. Makar-Limanov; W. McGovern; M. Nazarov; K-H. Neeb; L.G. Rybnikov; P. Schapira; V. Schechtman; A. Sergeev; J.T. Stafford; Ya. Varshavsky; N. Wallach; and I. Waschkies
Bibliography Includes bibliographical references
"Publications of Anthony Joseph": pages xiii-xix
Notes Print version record
In Springer e-books
Subject Lie algebras.
Quantum groups.
Geometry.
Fourier Analysis
geometry.
MATHEMATICS -- Algebra -- Intermediate.
Álgebras de lie.
Lie algebras.
Quantum groups.
Álgebras de Lie
Grupos cuánticos
Lie algebras
Quantum groups
Álgebras de lie.
Genre/Form Festschriften
Festschriften.
Form Electronic book
Author Joseph, Anthony, 1942-
Bernstein, Joseph, 1945-
Hinich, Vladimir.
Melnikov, Anna.
ISBN 9780817644789
0817644784
0817643427
9780817643423
6610624070
9786610624072