Advanced Studies in Pure Mathematics 2001; 422 pp; hardcover Volume: 28 ISBN10: 4314101415 ISBN13: 9784314101417 Order Code: ASPM/28  This volume is a collection of papers written by the speakers of two international conferences held at the Research Institute for Mathematical Sciences (RIMS) at Kyoto University (Japan). Included are articles and surveys treating representations of (affine) Hecke algebras and affine Lie algebras, combinatorial properties of KazhdanLusztig polynomials, crystals and GelfandZetland bases for Lie (super) algebras, etc. Volumes in this series are freely available electronically 5 years postpublication. Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS. Readership Graduate students and research mathematicians interested in combinatorics. Table of Contents  S. Ariki  RobinsonSchensted correspondence and left cells
 G. Benkart and S.J. Kang  Crystal bases for quantum superalgebras
 F. Brenti  Approximation results for KazhdanLusztig polynomials
 M. Ciucu and C. Krattenthaler  Plane partitions II: \(5\tfrac{1}{2}\) symmetry classes
 A. Gyoja, K. Nishiyama, and K. Taniguchi  Invariants for representations of Weyl groups, twosided cells, and modular representations of IwahoriHecke algebras
 G. Hatayama, Y. Koga, A. Kuniba, M. Okado, and T. Takagi  Finite crystals and paths
 M. Ishikawa and M. Wakayama  Minor summation formulas of Pfaffians, survey and a new identity
 A. Kirillov, Jr. and A. Lascoux  Factorization of KazhdanLusztig elements for Grassmanians
 B. Leclerc and J.Y. Thibon  LittlewoodRichardson coefficients and KazhdanLusztig polynomials
 A. I. Molev  A weight basis for representations of even orthogonal Lie algebras
 T. Nakajima and H.F. Yamada  Schur's \(Q\)functions and twisted affine Lie algebras
 M. Nazarov  Capelli elements in the classical universal enveloping algebras
 Y. Roichman  On permutation statistics and Hecke algebra characters
 A. Schilling and M. Shimozono  Bosonic formula for levelrestricted paths
 T. Shoji  Length functions for \(G(r,p,n)\)
 T. Suzuki  Representations of degenerate affine Hecke algebra and \(\mathfrak{gl}_n\)
 H. Tagawa  A recursion formula of the weighted parabolic KazhdanLusztig polynomials
 Y. Yamada  Special polynomials and generalized Painlevé equations
 M. Yamaguchi  A duality of a twisted group algebra of the hyperoctahedral group and the queer Lie superalgebra
