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Cellular algebras arising from Hecke algebras of type Hn.

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  • R. M. Green
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<mark>Journal publication date</mark>1998
<mark>Journal</mark>Mathematische Zeitschrift
Issue number2
Volume229
Number of pages19
Pages (from-to)365-383
Publication StatusPublished
<mark>Original language</mark>English

Abstract

We study a finite-dimensional quotient of the Hecke algebra of type 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.