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Algebraic combinatorics and quantum groups /

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...

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Bibliographic Details
Corporate Authors: World Scientific (Firm)
Group Author: Jing, Naihuan (Editor)
Published: World Scientific Pub. Co.,
Publisher Address: Singapore ; River Edge, N.J. :
Publication Dates: 2003.
Literature type: eBook
Language: English
Subjects:
Combinatorial analysis > Congresses.
Quantum groups > Congresses.
Algebra > Congresses.
Electronic books.
Online Access: http://www.worldscientific.com/worldscibooks/10.1142/5331#t=toc
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.
Carrier Form: 1 online resource (vii,161pages) : illustrations
Bibliography: Includes bibliographical references.
ISBN: 9789812775405 (electronic bk.)
CLC: O157.1-532
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.

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