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arXiv · 1710.03670

Hecke modules based on involutions in extended Weyl groups

G. Lusztig
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Abstract

Let X be the group of weights of a maximal torus of a simply connected semisimple group over C and let W be the Weyl group. The semidirect product W(Q\otimes X/X) is called the extended Weyl group. There is a natural C(v)-algebra H called the extended Hecke algebra with basis indexed by the extended Weyl group which contains the usual Hecke algebra as a subalgebra. We construct an H-module with basis indexed by the involutions in the extended Weyl group. This generalizes a construction of the author and D.Vogan.

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BibTeXRIS

G. Lusztig. 2017-10-10. Hecke modules based on involutions in extended Weyl groups. https://arxiv.org/abs/1710.03670

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