Lusztig 矢苛 sheaf、分解规则与限制规则
表示论
2025-04-22 v1 代数几何
量子代数
摘要
In this article, we realize the subquotient based modules of certain tensor products or restricted modules via Lusztig's perverse sheaves on multi-framed quivers, and provide a construction of their canonical bases. As an application, we prove that the decomposition and restriction coefficients of symmetric Kac-Moody algebras equal to the dimensions of top Borel-Moore homology groups for certain locally closed subsets of Nakajima's quiver varieties.
引用
@article{arxiv.2504.14911,
title = {Lusztig sheaves, decomposition rule and restriction rule},
author = {Yixin Lan},
journal= {arXiv preprint arXiv:2504.14911},
year = {2025}
}
备注
35pages