Applications of Crystal Bases to Current Problems in Representation Theory
arXiv:math/0610704
Abstract
This dissertation addresses several current problems in Representation Theory using crystal bases. It incorporates the results of arXiv:math.QA/0408113 and arXiv:math.RT/0603547, as well as previously unpublished results.
References in corpus (7)
- Quantum Affine Algebras and their Representations
- X=M for symmetric powers
- Virtual crystals and Kleber's algorithm
- -Wedge Modules for Quantized Enveloping Algebras of Classical Type
- Level 1 Perfect Crystals and Path Realizations of Basic Representations at q=0
- Construction of perfect crystals conjecturally corresponding to Kirillov-Reshetikhin modules over twisted quantum affine algebras
- Finite-Dimensional Crystals B^{2,s} for Quantum Affine Algebras of type D_{n}^{(1)}