Duality for Ext-groups and extensions of discrete series for graded Hecke algebras

Authors
Publication date 05-2016
Journal Advances in Mathematics
Volume | Issue number 294
Pages (from-to) 410–453
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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 a tempered module and a discrete series vanish.
Document type Article
Language English
Published at
https://doi.org/10.1016/j.aim.2016.03.002 (Final published version)
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