Studies in Lie Theory Dedicated to A. Joseph on his Sixtieth Birthday [Hardcover]

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

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.

* Preface * Publications of Anthony Joseph * Students of Anthony Joseph * From Denise Joseph * From Jacques Dixmier: A Recollection of Tony Joseph Part I: Survey and Review * W. McGovern: The work of Anthony Joseph in classical representation theory * D. Farkas and G. Letzter: Quantized representation theory following Joseph Part II: Research Articles * J. Alev and F. Dumas: Op?rateurs diff?rentiels invariants et probl?me de Noether * A. Beilinson: Langlands parameters for Heisenberg modules * A. Braverman and P. Etingof: Instanton counting via affine Lie algebras II: From Whittaker vectors to the SeibergWittenlƒ4