Representations of Quantum Algebras and Combinatorics of Young Tableaux

ISBN-13: 9780821832325 / Angielski / Miękka / 2002

Susumu (Research Institute For Mathematical Sciences Ariki

Opis

This volume contains most of the non-standard material necessary to get acquainted with this rapidly developing area. It can be used as an entry point into the study of representations of quantum groups. Among several tools used in studying representations of quantum groups (or quantum algebras) are the notions of Kashiwara's crystal bases and Lusztig's canonical bases. Mixing both approaches allows us to use a combinatorial approach to representations of quantum groups and to apply the theory to representations of Hecke algebras."