Combinatorial Aspect of Integrable Systems Arkady Berenstein, David Kazhdan, Cédric Lecouvey, Masato Okado, Anne Schilling, Taichiro Takagi, Alexander Veselov
This volume is a collection of six papers based on the expository lectures of the workshop “Combinatorial Aspect of Integrable Systems” held at RIMS during July 26-30, 2004, as a part of the Project Research 2004 “Method of Algebraic Analysis in Integrable Systems”. The topics range over crystal bases of quantum groups, its algebra-geometric analogue known as geometric crystal, generalizations of Robinson-Schensted type correspondence, fermionic formula related to Bethe ansatz, applications of crystal bases to soliton celluar automata, Yang-Baxter maps, and integrable discrete dynamics. All the papers are friendly written with many illustrative examples and intimately related to each other. This volume will serve as a good guide for researchers and graduate students who are interested in this fascinating subject. Categories:
Mathematics – Algebra
The Mathematical Society of Japan
Mathematical Society of Japan Memoirs, Volume 17
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