简介
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.
目录
Part I: Survey and Review I
The work of Anthony Joseph in classical representation theory
W. McGoern 3
Quantized representation theory following Joseph
Dani l RI. arkas and .Gail Iett.er 9
Part II: Research Articles
Operateurs differentiels invaiants et probleme de Noether
Jacques Alev and Frannois Duas .. . . .. . . 21
I anglands parameters for Heisenberg modules
A. Beilinson. .. . . 51
Inst anton counting via affine Lie algebras 1I: From Whittaker vectors to
the Seberg- Witten prepotential
A. Brnaermnand P Etin,of .. . . .. .. 61
In-educibilty of perfect representations of double affine Hecke algebras
Ian C r .. . . . . . . . ... . . . . .. . 79
Algebraic groups over a 2-dimensional local field:
Some furthcr constructions
Dennis o aitgai and Iavd Kahtlan . . 97
Modules wth a Demazure flag
Anthont ioseph. . . .. 131
Micrtlocahliation of ind-sheaves
T Ka shin at Pa. Sc/iapira F Iorra antd I ohkies.. 171
1 Endoscipc decomposition of certain depth zero representations
David KAcchdcl itni Yakat Vha .. .. ....... . 223
Odd family algebras
A. A. Kirill an . Rbnik .. .. .. . . 303
Gelfand-Zeitin theory from the perspective of classical mechanics. I
Bertram Kastan-t andci Nolan WVAtach . . .. . . . 319
Lxtcnsions of algebraic groups
ShitaIn Kana a nd Aail Htrmanc NKarlb e .. .... ...... 365
Differentia operators and cohornology groups on the basic affine space
ThieJ Lvsseur and St afford. ....... .. . . .. .... . 377
A - analogue of an identity of N. Wallach
CentraiZbers in the quantum plane algebra
I. MakariLinano ... .. . 411
Centraiier construction of the Yangian of the queer Lie superalgebra
Mnxitn Ntacit and Alexandie Srgeev .. .. ..... .. 417
Defintio nova algebroidis verticiani
adiin Scheciz an .. ... .... .... . .. .. ........ ... . . 443
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