Cellular algebras arising from Hecke algebras of type H_n

Details Cellular algebras arising from Hecke algebras of type H_n Cellular algebras arising from Hecke algebras of type H_n

1997-12-04

arxiv.org/abs/q-alg/9712019v1

Mathematics

Quantum Algebra

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

Scientific paper

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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