Mullineux对合与晶体同构
Mullineux involution and crystal isomorphisms
摘要：
利用A型仿射Hecke代数的晶体同构和Iwahori-Matsumoto对合的概念，给出了计算对称群及其Hecke代数的Mullineux对合的一种新方法.作为结果，我们得到了几个新的初等组合算法的计算，其中之一是等价于徐的算法（因此Mullineux的原始算法）。因此，我们得到一个简单的解释，这些算法和一个新的初等证明，他们确实计算Mullineux对合。
英文摘要：
We develop a new approach for the computation of the Mullineux involution for the symmetric group and its Hecke algebra using the notion of crystal isomorphism and the Iwahori-Matsumoto involution for the affine Hecke algebra of type A. As a consequence, we obtain several new elementary combinatorial algorithms for its computation, one of which is equivalent to Xu's algorithm (and thus Mullineux' original algorithm). We thus obtain a simple interpretation of these algorithms and a new elementary proof that they indeed compute the Mullineux involution.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
