Studies in Lie Theory: Dedicated to A. Joseph on his Sixtieth Birthday (Progress in Mathematics Book 243)

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. Recollection Of Tony Joseph / Jacques Dixmier -- Work Of Anthony Joseph In Classical Representation Theory / W. Mcgovern -- Quantized Representation Theory Following Joseph / Daniel R. Farkas And Gail Letzter -- Operateurs Differentiels Invariants Et Probleme De Noether / Jacques Alev And Francois Dumas -- Langlands Parameters For Heisenberg Modules / A. Beilinson -- Instanton Counting Via Affine Lie Algebras Ii : From Whittaker Vectors To The Seiberg-witten Prepotential / A. Braverman And P. Etingof -- Irreducibility Of Perfect Representations Of Double Affine Hecke Algebras / Ivan Cherednik -- Algebraic Groups Over A 2-dimensional Local Field : Some Further Constructions / Dennis Gaitsgory And David Kazhdan -- Modules With A Demazure Flag / Anthony Joseph -- Microlocalization Of Ind-sheaves / M. Kashiwara, P. Schapira, F. Ivorra And I. Waschkies -- Endoscopic Decomposition Of Certain Depth Zero Representations / David Kazhdan And Yakov Varshavsky -- Odd Family Algebras / A. A. Kirillov And L. G. Rybnikov -- Gelfand-zeitlin Theory From The Perspective Of Classical Mechanics : I / Bertram Kostant And Nolan Wallach -- Extensions Of Algebraic Groups / Shrawan Kumar And Karl-hermann Neeb -- Differential Operators And Cohomology Groups On The Basic Affine Space / Thierry Levasseur And J. T. Stafford -- Q-analogue Of An Identity Of N. Wallach / G. Lusztig -- Centralizers In The Quantum Plane Algebra / L. Makar-limanov -- Centralizer Construction Of The Yangian Of The Queer Lie Superalgebra / Maxim Nazarov And Alexander Sergeev -- Definito Nova Algebroidis Verticiani / Vadim Schechtman. Joseph Bernstein, Vladimir Hinich, Anna Melnikov, Editors. Includes Bibliographical References. Publications Of Anthony Joseph: P. [xiii]-xix. 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