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9789812384461

Algebraic Combinatorics and Quantum Groups

by
  • ISBN13:

    9789812384461

  • ISBN10:

    9812384464

  • Format: Hardcover
  • Copyright: 2003-09-01
  • Publisher: World Scientific Pub Co Inc
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Summary

Algebraic combinatorics has evolved into one of the most active areas of mathematics during the last several decades. Its recent developments have become more interactive with not only its traditional field representation theory but also algebraic geometry, harmonic analysis and mathematical physics.This book presents articles from some of the key contributors in the area. It covers Hecke algebras, Hall algebras, the Macdonald polynomial and its deviations, and their relations with other fields.

Table of Contents

Preface
Uno's Conjecture on Representation Types of Hecke Algebrasp. 1
Quiver Varieties, Affine Lie Algebras, Algebras of BPS States, and Semicanonical Basisp. 11
Divided Differences of Type D and the Grassmannian of Complex Structuresp. 31
Tableaux Statistics for Two Part Macdonald Polynomialsp. 61
A Crystal to Rigged Configuration Bijection for Nonexceptional Affine Algebrasp. 85
Littlewood's Formulas for Characters of Orthogonal and Symplectic Groupsp. 125
A q-Analog of Schur's Q-Functionsp. 135
Table of Contents provided by Blackwell. All Rights Reserved.

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