Decomposition Theorem for Product of Fundamental Crystals in Monomial Realization
Quantum Algebra
2018-08-15 v2 Representation Theory
Abstract
We consider a product of fundamental crystals in monomial realization of type A. Then we shall show that the product holds crystal structure and describe how it is decomposed into irreducible crystals, which is, in general, different from the decomposition for tensor product of the fundamental crystals.
Cite
@article{arxiv.1807.11081,
title = {Decomposition Theorem for Product of Fundamental Crystals in Monomial Realization},
author = {Manal Alshuqayr and Toshiki Nakashima},
journal= {arXiv preprint arXiv:1807.11081},
year = {2018}
}
Comments
17 pages. Added some comments in the introduction