Studies in lie theory : dedicated to A. Joseph on his sixtieth birthday /

Dedicated to Anthony Joseph in honor of his 60th birthday, this volume contains two articles reviewing different aspects of Joseph's impact on the theory of representations of Lie algebras and 17 original contributions from leading specialists in the field. The book contains new results on diff...

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Bibliographic Details
Other Authors: Bernstein, Joseph, 1945-, Hinich, Vladimir, Joseph, Anthony, 1942-, Melnikov, Anna
Format: Book
Language:English
Published: Boston : Birkhäuser, [2006], ©2006
Boston : Birkhäuser, c2006
Boston : c2006
Boston : ©2006
Boston : [2006]
Series:Progress in mathematics (Boston, Mass.) ; v. 243
Progress in mathematics (Boston, Mass.) ; v.243
Progress in mathematics (Boston, Mass.) v. 243
Progress in mathematics (Boston, Mass.)
Subjects:
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245 0 0 |a Studies in lie theory :  |b dedicated to A. Joseph on his sixtieth birthday /  |c Joseph Bernstein, Vladimir Hinich, Anna Melnikov, editors 
260 |a Boston :  |b Birkhäuser,  |c [2006], ©2006 
260 |a Boston :  |b Birkhäuser,  |c c2006 
260 |a Boston :  |b Birkhäuser,  |c c2006 
260 |a Boston :  |b Birkhäuser,  |c ©2006 
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490 1 |a Progress in mathematics ;  |v v. 243 
490 1 |a Progress in mathematics 
500 |a This WorldCat-derived record is shareable under Open Data Commons ODC-BY, with attribution to OCLC  |5 CTY 
504 |a Includes bibliographical references and "Publications of Anthony Joseph": p. [xiii]-xix 
504 |a Includes bibliographical references 
504 |a "Publications of Anthony Joseph": p. [xiii]-xix 
504 |a "Publications of Anthony Joseph": pages [xiii]-xix 
505 0 0 |t A recollection of Tony Joseph /  |r Jacques Dixmier --   |t The work of Anthony Joseph in classical representation theory /  |r W. McGovern --   |t Quantized representation theory following Joseph /  |r Daniel R. Farkas and Gail Letzter --   |t Operateurs differentiels invariants et probleme de Noether /  |r Jacques Alev and Francois Dumas --   |t Langlands parameters for Heisenberg modules /  |r A. Beilinson --   |t Instanton counting via affine Lie algebras II : from Whittaker vectors to the Seiberg-Witten prepotential /  |r A. Braverman and P. Etingof --   |t Irreducibility of perfect representations of double affine Hecke algebras /  |r Ivan Cherednik --   |t Algebraic groups over a 2-dimensional local field : some further constructions /  |r Dennis Gaitsgory and David Kazhdan --   |t Modules with a Demazure flag /  |r Anthony Joseph --   |t Microlocalization of ind-sheaves /  |r M. Kashiwara, P. Schapira, F. Ivorra and I. Waschkies --   |t Endoscopic decomposition of certain depth zero representations /  |r David Kazhdan and Yakov Varshavsky --   |t Odd family algebras /  |r A. A. Kirillov and L. G. Rybnikov --   |t Gelfand-Zeitlin theory from the perspective of classical mechanics : I /  |r Bertram Kostant and Nolan Wallach --   |t Extensions of algebraic groups /  |r Shrawan Kumar and Karl-Hermann Neeb --   |t Differential operators and cohomology groups on the basic affine space /  |r Thierry Levasseur and J. T. Stafford --   |t A q-analogue of an identity of N. Wallach /  |r G. Lusztig --   |t Centralizers in the quantum plane algebra /  |r L. Makar-Limanov --   |t Centralizer construction of the Yangian of the queer Lie superalgebra /  |r Maxim Nazarov and Alexander Sergeev --   |t Definito nova algebroidis verticiani /  |r Vadim Schechtman 
505 0 0 |t A recollection of Tony Joseph /  |r Jacques Dixmier --  |t The work of Anthony Joseph in classical representation theory /  |r W. McGovern --  |t Quantized representation theory following Joseph /  |r Daniel R. Farkas and Gail Letzter --  |t Operateurs differentiels invariants et probleme de Noether /  |r Jacques Alev and Francois Dumas --  |t Langlands parameters for Heisenberg modules /  |r A. Beilinson --  |t Instanton counting via affine Lie algebras II : from Whittaker vectors to the Seiberg-Witten prepotential /  |r A. Braverman and P. Etingof --  |t Irreducibility of perfect representations of double affine Hecke algebras /  |r Ivan Cherednik --  |t Algebraic groups over a 2-dimensional local field : some further constructions /  |r Dennis Gaitsgory and David Kazhdan --  |t Modules with a Demazure flag /  |r Anthony Joseph --  |t Microlocalization of ind-sheaves /  |r M. Kashiwara, P. Schapira, F. Ivorra and I. Waschkies --  |t Endoscopic decomposition of certain depth zero representations /  |r David Kazhdan and Yakov Varshavsky --  |t Odd family algebras /  |r A. A. Kirillov and L. G. Rybnikov --  |t Gelfand-Zeitlin theory from the perspective of classical mechanics : I /  |r Bertram Kostant and Nolan Wallach --  |t Extensions of algebraic groups /  |r Shrawan Kumar and Karl-Hermann Neeb --  |t Differential operators and cohomology groups on the basic affine space /  |r Thierry Levasseur and J. T. Stafford --  |t A q-analogue of an identity of N. Wallach /  |r G. Lusztig --  |t Centralizers in the quantum plane algebra /  |r L. Makar-Limanov --  |t Centralizer construction of the Yangian of the queer Lie superalgebra /  |r Maxim Nazarov and Alexander Sergeev --  |t Definito nova algebroidis verticiani /  |r Vadim Schechtman 
505 0 0 |t Publications of Anthony Joseph  |g xiii --  |t Students of Anthony Joseph  |g xxi --  |t From Denise Joseph  |g xxiii --  |t From Jacques Dixmier: A Recollection of Tony Joseph  |g xxv --  |g Part I  |t Survey and Review  |g 1 --  |t The work of Anthony Joseph in classical representation theory /   |r W. McGovern  |g 3 --  |t Quantized representation theory following Joseph /   |r Daniel R. Farkas, Gail Letzter  |g 9 --  |g Part II  |t Research Articles --  |t Operateurs differentiels invariants et probleme de Noether /   |r Jacques Alev, Francois Dumas  |g 21 --  |t Langlands parameters for Heisenberg modules /   |r A. Beilinson  |g 51 --  |t Instanton counting via affine Lie algebras II: From Whittaker vectors to the Seiberg-Witten prepotential /   |r A. Braverman, P. Etingof  |g 61 --  |t Irreducibility of perfect representations of double affine Hecke algebras /   |r Ivan Cherednik  |g 79 --  |t Algebraic groups over a 2-dimensional local field: Some further constructions /   |r Dennis Gaitsgory, David Kazhdan  |g 97 --  |t Modules with a Demazure flag /   |r Anthony Joseph  |g 131 --  |t Microlocalization of ind-sheaves /   |r M. Kashiwara, P. Schapira, F. Ivorra, I. Waschkies  |g 171 --  |t Endoscopic decomposition of certain depth zero representations /   |r David Kazhdan, Yakov Varshavsky  |g 223 --  |t Odd family algebras /   |r A. A. Kirillov, L. G. Rybnikov  |g 303 --  |t Gelfand-Zeitlin theory from the perspective of classical mechanics. I /   |r Bertram Kostant, Nolan Wallach  |g 319 --  |t Extensions of algebraic groups /   |r Shrawan Kumar, Karl-Hermann Neeb  |g 365 --  |t Differential operators and cohomology groups on the basic affine space /   |r Thierry Levasseur, J. T. Stafford  |g 377 --  |t A q-analogue of an identity of N. Wallach /   |r G. Lusztig  |g 405 --  |t Centralizers in the quantum plane algebra /   |r L. Makar-Limanov  |g 411 --  |t Centralizer construction of the Yangian of the queer Lie superalgebra /   |r Maxim Nazarov, Alexander Sergeev  |g 417 --  |t Definitio nova algebroidis verticiani /   |r Vadim Schechtman  |g 443 
505 0 0 |t Recollection of Tony Joseph /  |r Jacques Dixmier --  |t work of Anthony Joseph in classical representation theory /  |r W. McGovern --  |t Quantized representation theory following Joseph /  |r Daniel R. Farkas and Gail Letzter --  |t Operateurs differentiels invariants et probleme de Noether /  |r Jacques Alev and Francois Dumas --  |t Langlands parameters for Heisenberg modules /  |r A. Beilinson --  |t Instanton counting via affine Lie algebras II : from Whittaker vectors to the Seiberg-Witten prepotential /  |r A. Braverman and P. Etingof --  |t Irreducibility of perfect representations of double affine Hecke algebras /  |r Ivan Cherednik --  |t Algebraic groups over a 2-dimensional local field : some further constructions /  |r Dennis Gaitsgory and David Kazhdan --  |t Modules with a Demazure flag /  |r Anthony Joseph --  |t Microlocalization of ind-sheaves /  |r M. Kashiwara, P. Schapira, F. Ivorra and I. Waschkies --  |t Endoscopic decomposition of certain depth zero representations /  |r David Kazhdan and Yakov Varshavsky --  |t Odd family algebras /  |r A. A. Kirillov and L. G. Rybnikov --  |t Gelfand-Zeitlin theory from the perspective of classical mechanics : I /  |r Bertram Kostant and Nolan Wallach --  |t Extensions of algebraic groups /  |r Shrawan Kumar and Karl-Hermann Neeb --  |t Differential operators and cohomology groups on the basic affine space /  |r Thierry Levasseur and J. T. Stafford --  |t q-analogue of an identity of N. Wallach /  |r G. Lusztig --  |t Centralizers in the quantum plane algebra /  |r L. Makar-Limanov --  |t Centralizer construction of the Yangian of the queer Lie superalgebra /  |r Maxim Nazarov and Alexander Sergeev --  |t Definito nova algebroidis verticiani /  |r Vadim Schechtman 
520 |a Dedicated to Anthony Joseph in honor of his 60th birthday, this volume contains two articles reviewing different aspects of Joseph's impact on the theory of representations of Lie algebras and 17 original contributions from leading specialists in the field. The book contains new results on different aspects of Lie theory, including Lie superalgebras, quantum groups, crystal bases, representations of reductive groups in finite characteristic, and the geometric Langlands program. Contributors: J. Alev; A. Beilinson; A. Braverman; I. Cherednik; F. Dumas; P. Etingof; D. Farkas; D. Gaitsgory; F. Ivorra; A. Joseph; M. Kashiwara; D. Kazhdan; A.A. Kirillov; B. Kostant; S. Kumar; G. Letzter; T. Levasseur; G. Lusztig; L. Makar-Limanov; W.M. Mc.Govern; M. Nazarov; K-H. Neeb; L. Rybnikov; P. Schapira; V. Schechtman; A. Sergeev; J.T. Stafford; Ya. Varshavsky; N. Wallach; and I. Waschkies 
520 |a 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 
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