分级 Hecke 代数离散级数的 Ext-群与扩张的对偶性
表示论
2016-10-04 v3
摘要
本文研究了分级仿射 Hecke 代数模的扩张。特别是，基于分级仿射 Hecke 代数模的显式投射分解，我们证明了 Ext-群的对偶性结果。该对偶性结果结合 Ind-Res 分解，给出了离散级数之间所有高阶 Ext-群均为零这一事实的代数证明。
引用
@article{arxiv.1410.1495,
title = {Duality for Ext-groups and extensions of discrete series for graded Hecke algebras},
author = {Kei Yuen Chan},
journal= {arXiv preprint arXiv:1410.1495},
year = {2016}
}
备注
36 pages, v2: Some results and proofs are improved. Sections 5,6,7 in v2 are new. Section 5 in v1 is completely removed and may appear elsewhere; v3: close to published version