Quantization of branching coefficients for classical Lie groups
表示论
2007-05-23 v1 组合数学
摘要
We study natural quantizations of branching coefficients corresponding to the restrictions of the classical Lie groups to their Levi subgroups. We show that they admit a stable limit which can be regarded as a -analogue of a tensor product multiplicity. According to a conjecture by Shimozono, the stable one-dimensional sum for nonexceptional affine crystals are expected to occur as special cases of these -analogues.
引用
@article{arxiv.math/0602089,
title = {Quantization of branching coefficients for classical Lie groups},
author = {Cedric lecouvey},
journal= {arXiv preprint arXiv:math/0602089},
year = {2007}
}