Crystallized Peter-Weyl type decomposition for level 0 part of modified quantum algebra $\widetilde U_q(\widehat{sl_2})_0$
q-alg
2008-02-03 v2 Quantum Algebra
Abstract
We shall give some criteria for the existence of the Peter-Weyl type decomposition for modified quantum algebra, which is motivated by the fact that modified quantum algebra has commutative two crystal structures. We shall apply the criteria to the crystal base of the level 0 part of the modified quantum affine algebra and give more precise description of Peter-Weyl type decomposition.
Keywords
Cite
@article{arxiv.q-alg/9510006,
title = {Crystallized Peter-Weyl type decomposition for level 0 part of modified quantum algebra $\widetilde U_q(\widehat{sl_2})_0$},
author = {Toshiki Nakashima},
journal= {arXiv preprint arXiv:q-alg/9510006},
year = {2008}
}
Comments
32 pages, LaTex. Some parts in section 4 and 5 are corrected or improved