Algebraic combinatorics and quantum groups / edited by Naihuan Jing.

Contributor(s): Jing, Naihuan
Material type: TextTextPublisher: River Edge, NJ : World Scientific, ©2003Description: 1 online resource (vii, 161 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9789812775405; 9812775404; 1281928127; 9781281928122Subject(s): Combinatorial analysis -- Congresses | Quantum groups -- Congresses | Algebra -- Congresses | Analyse combinatoire -- Congrès | Groupes quantiques -- Congrès | Algèbre -- Congrès | MATHEMATICS -- Combinatorics | Algebra | Combinatorial analysis | Quantum groups | Algebraische Kombinatorik | Hecke-Algebra | Statistische Mechanik | Symmetrische FunktionGenre/Form: Electronic books. | Electronic books. | Conference papers and proceedings. | Kongress. Additional physical formats: Print version:: Algebraic combinatorics and quantum groups.DDC classification: 511/.6 LOC classification: QA164 | .A4235 2003ebOther classification: SK 240 | SK 170 Online resources: Click here to access online
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.
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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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