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arXiv · 1507.02263

An involution based left ideal in the Hecke algebra

G. Lusztig
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Abstract

We define an imbedding of the Hecke algebra module carried by the involutions in a Weyl group W (defined by the author and Vogan) into a completion of the Hecke algebra. An analogous result is proved for any Coxeter group. A variant of the construction gives an imbedding of the biregular representation of a Hecke algebra of W in a completion of the Hecke algebra of W^2.

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G. Lusztig. 2015-07-08. An involution based left ideal in the Hecke algebra. https://arxiv.org/abs/1507.02263

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