Cellular algebras arising from Hecke algebras of type H_n

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dc.creatorGreen, R. M.
dc.date1997-12-04
dc.date.accessioned2026-07-07T05:57:45Z
dc.date.available2026-07-07T05:57:45Z
dc.descriptionWe 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.
dc.description16 pages, 8 EPS figures. Mathematische Zeitschrift, to appear
dc.identifierhttps://arxiv.org/abs/q-alg/9712019
dc.identifierhttp://arxiv.org/abs/q-alg/9712019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88099
dc.subjectQuantum Algebra
dc.subject16W10, 16D70
dc.titleCellular algebras arising from Hecke algebras of type H_n
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