Cellular algebras arising from Hecke algebras of type \(H_n\) (Q1281666)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cellular algebras arising from Hecke algebras of type \(H_n\) |
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Cellular algebras arising from Hecke algebras of type \(H_n\) (English)
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2 June 1999
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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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finite-dimensional quotients
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Hecke algebras
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diagrams
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bases of monomials
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semisimplicity
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