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Algebraic combinatorics and quantum groups [electronic resource] / edited by Naihuan Jing.

Contributor(s): Material type: TextTextPublication details: River Edge, NJ : World Scientific, ©2003.Description: 1 online resource (vii, 161 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9789812775405
  • 9812775404
  • 1281928127
  • 9781281928122
Subject(s): Genre/Form: Additional physical formats: Print version:: Algebraic combinatorics and quantum groups.DDC classification:
  • 511/.6 22
LOC classification:
  • QA164 .A4235 2003eb
Other classification:
  • SK 240
  • SK 170
Online resources:
Contents:
Uno's conjecture on representation types of Hecke algebras / S. Ariki -- Quiver varieties, affine Lie algebras, algebras of BPS states, and semicanonical basis / I. Frenkel, A. Malkin and M. Vybornov -- Divided differences of type D and the Grassmannian of complex structures / H. Duan and P. Pragacz -- Tableaux statistics for two part Macdonald polynomials / L. Lapointe and J. Morse -- A crystal to rigged configuration bijection for nonexceptional affine algebras / M. Okado, A. Schilling and M. Shimozono -- Littlewood's formulas for characters of orthogonal and symplectic groups / A. Lascoux -- A q-analog of Schur's Q-functions / G. Tudose and M. Zabrocki.
Summary: Algebraic combinatorics has evolved into one of the most active areas of mathematics. Its developments have become more interactive with not only its traditional field representation theory but also geometry, mathematical physics and harmonic analysis. 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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library EBSCO Science Available
Total holds: 0

Includes bibliographical references.

Print version record.

Algebraic combinatorics has evolved into one of the most active areas of mathematics. Its developments have become more interactive with not only its traditional field representation theory but also geometry, mathematical physics and harmonic analysis. 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.

Uno's conjecture on representation types of Hecke algebras / S. Ariki -- Quiver varieties, affine Lie algebras, algebras of BPS states, and semicanonical basis / I. Frenkel, A. Malkin and M. Vybornov -- Divided differences of type D and the Grassmannian of complex structures / H. Duan and P. Pragacz -- Tableaux statistics for two part Macdonald polynomials / L. Lapointe and J. Morse -- A crystal to rigged configuration bijection for nonexceptional affine algebras / M. Okado, A. Schilling and M. Shimozono -- Littlewood's formulas for characters of orthogonal and symplectic groups / A. Lascoux -- A q-analog of Schur's Q-functions / G. Tudose and M. Zabrocki.

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