Algebraic Combinatorics And Quantum Groups

Buch | Hardcover

172 Seiten

2003
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-238-446-1 (ISBN)

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Algebraic combinatorics has evolved into one of the most active areas of mathematics. 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.

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.

* Uno's Conjecture on Representation Types of Hecke Algebras (S Ariki) * Quiver Varieties, Afine Lie Algebras, Algebras of BPS States, and Semicanonical Basis (I Frenkel et al.) * Divided Differences of Type D and the Grassmannian of Complex Structures (H Duan & P Pragacz) * Tableaux Statistics For Two Part Macdonald Polynomials (L Lapointe & J Morse) * A Crystal to Rigged Configuration Bijection for Nonexceptional Affine Algebras (M Okado et al.) * Littlewood's Formulas for Characters of Orthogonal and Symplectic Groups (A Lascoux) * A q-Analog of Schur's Q-Functions (G Tudose & M Zabrocki)

Erscheint lt. Verlag	1.7.2003
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
ISBN-10	981-238-446-4 / 9812384464
ISBN-13	978-981-238-446-1 / 9789812384461
Zustand	Neuware