An involution based left ideal in the Hecke algebra
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We show that the Hecke algebra module carried by the involutions in a Weyl group (defined by the author and Vogan) can be identified with a left ideal in the Hecke algebra. An analogous result is proved for any Coxeter group.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Representation Theory of the American Mathematical Society
American Mathematical Society (AMS)
Lusztig, G. “An Involution Based Left Ideal in the Hecke Algebra.” Representation Theory of the American Mathematical Society 20, no. 8 (June 10, 2016): 172–186.
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