B_n 与 G_2 型洗牌代数的特殊化映射
量子代数
2023-05-03 v3 组合数学
环与代数
摘要
我们利用特殊化映射定义了 Feigin-Odesskii 的 B_n 与 G_2 型洗牌代数的一个滤子,推广了 Negut 与 Tsymbaliuk 给出的 A_n 型结果。这些滤子与 B_n 和 G_2 型量子当前代数的一类 PBW 型基相容。
引用
@article{arxiv.2206.12806,
title = {Specialization maps for shuffle algebras of type $B_{n}$ and $G_{2}$},
author = {Yue Hu},
journal= {arXiv preprint arXiv:2206.12806},
year = {2023}
}
备注
The paper has been withdrawn by the author since it is replaced by a majorly corrected and upgraded version, see arXiv:2305.00810, where we corrected some errors and upgraded the results by establishing the shuffle algebra realization of integral forms of quantum loop algebras and Yangians in type B_n and G_2