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Cellular algebras arising from Hecke algebras of type H_n

R. M. Green
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Abstract

We study a finite-dimensional quotient of the Hecke algebra of type $H_n$ for general $n$, using a calculus of diagrams. This provides a basis of monomials in a certain set of generators. Using this, we prove a conjecture of C.K. Fan about the semisimplicity of the quotient algebra. We also discuss the cellular structure of the algebra, with certain restrictions on the ground ring.

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BibTeXRIS

R. M. Green. 1997-12-04. Cellular algebras arising from Hecke algebras of type H_n. https://arxiv.org/abs/q-alg/9712019

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