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

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.

preprint2014arXivOpen access
Kei Yuen Chan
math.RT
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Kei Yuen Chan

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