Centres of Hecke algebras: the Dipper-James conjecture

2006/03/14 by Francis, Andrew R, Graham, John J · 1 citation
#05E05 #20C08 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.math/0603314

Abstract

In this paper we prove the Dipper-James conjecture that the centre of the Iwahori-Hecke algebra of type A is the set of symmetric polynomials in the Jucys-Murphy operators.

Cited by

• Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements

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