Representations of Quantum Algebras and Combinatorics of Young Tableaux

Introduces the representation theory of quantum groups using quantum groups of type $A_{r-1}^{(1)}$ as a main example. This book also explains the proof of the (generalized) Lascoux-Leclerc-Thibon conjecture. It is suitable for those interested in representation theory of algebraic groups and quantum groups, and the theory of Hecke algebras.