Cellular algebras arising from Hecke algebras of type Hn.

Green, R. M. (1998) Cellular algebras arising from Hecke algebras of type Hn. Mathematische Zeitschrift, 229 (2). pp. 365-383. ISSN 1432-1823

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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.

Item Type:
Journal Article
Journal or Publication Title:
Mathematische Zeitschrift
Uncontrolled Keywords:
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Subjects:
ID Code:
19434
Deposited By:
Deposited On:
18 Nov 2008 14:06
Refereed?:
Yes
Published?:
Published
Last Modified:
01 Jan 2020 06:15