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arXiv · 1407.0956

On a twisted Euler-Poincaré pairing for graded affine Hecke algebras

Kei Yuen Chan
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Abstract

We study a twisted Euler-Poincaré pairing for graded affine Hecke algebras, and give a precise connection to the twisted elliptic pairing of Weyl groups defined by Ciubotaru-He. The Ext-groups for an interesting class of parabolically induced modules are also studied in a connection with the twisted Euler-Poincaré pairing. We also study a certain space of graded Hecke algebra modules which equips with the twisted Euler-Poincaré pairing as an inner product.

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Kei Yuen Chan. 2014-07-03. On a twisted Euler-Poincaré pairing for graded affine Hecke algebras. https://arxiv.org/abs/1407.0956

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