Combinatorial and geometric representation theory : an International Conference on Combinatorial and Geometric Representation Theory, October 22-26, 2001, Seoul National University, Seoul, Korea

Bibliographic Information

Combinatorial and geometric representation theory : an International Conference on Combinatorial and Geometric Representation Theory, October 22-26, 2001, Seoul National University, Seoul, Korea

Seok-Jin Kang, Kyu-Hwan Lee, editors

(Contemporary mathematics, 325)

American Mathematical Society, c2003

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Includes bibliographical references

Description and Table of Contents

Description

This volume presents the proceedings of the international conference on Combinatorial and Geometric Representation Theory. In the field of representation theory, a wide variety of mathematical ideas are providing new insights, giving powerful methods for understanding the theory, and presenting various applications to other branches of mathematics. Over the past two decades, there have been remarkable developments. This book explains the strong connections between combinatorics, geometry, and representation theory. It is suitable for graduate students and researchers interested in representation theory.

Table of Contents

Twisted Verma modules and their quantized analogues by H. H. Andersen On tameness of the Hecke algebras of type $B$ by S. Ariki Tensor product representations of Temperley-Lieb algebras and their centralizer algebras by G. Benkart and D. Moon The restricted nullcone by J. F. Carlson, Z. Lin, D. K. Nakano, and B. J. Parshall Projective embeddings of varieties of special lattices by W. J. Haboush Representations of general linear groups by G. James Fock space representations for the quantum affine algebra $U_q(C_2^{(1)})$ by S.-J. Kang and J.-H. Kwon Realizations of crystals by M. Kashiwara $t$-analogs of $q$-characters of quantum affine algebras of type $A_n$, $D_n$ by H. Nakajima Skew shape representations are irreducible by A. Ram.

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