AIII/AIV 型量子对称对的辫群作用
量子代数
2020-07-21 v2
摘要
在本文中,我们构造了 AIII/AIV 型量子对称对余理想子代数上的辫群作用。这完成了 Kolb 与 Pellegrini 在底层李代数为 sl_n 情形下的猜想的证明。辫群作用定义于余理想子代数的生成元上,其定义关系与辫关系通过显式计算验证。
引用
@article{arxiv.1909.11215,
title = {Braid group actions for quantum symmetric pairs of type AIII/AIV},
author = {Liam Dobson},
journal= {arXiv preprint arXiv:1909.11215},
year = {2020}
}
备注
Substantial revision following referee comments. Section 2 has been shortened considerably. Lemmas 3.10 to 3.15 have been condensed into a single proof of Theorem 3.8. Sections 3.2 and 3.3 are now Sections 4 and 5, respectively. Removed Propositions 3.22 to 3.26 and replaced with Section 4.2. The Appendix has been split into three parts for readability. To appear in Journal of Algebra;38 pages