Duality for Ext-groups and extensions of discrete series for graded Hecke algebras
Representation Theory
2016-10-04 v3
Abstract
In this paper, we study extensions of graded affine Hecke algebra modules. In particular, based on an explicit projective resolution on graded affine Hecke algebra modules, we prove a duality result for Ext-groups. This duality result with an Ind-Res resolution gives an algebraic proof of the fact that all higher Ext-groups between discrete series vanish.
Keywords
Cite
@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}
}
Comments
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