Cellular algebras arising from Hecke algebras of type H_n

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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.
16 pages, 8 EPS figures. Mathematische Zeitschrift, to appear

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Quantum Algebra, 16W10, 16D70

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http://salesiana.dossiersoluciones.com/handle/123456789/88099

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/q-alg/9712019
 http://arxiv.org/abs/q-alg/9712019

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arXiv