Murphy operators and the centre of the
Iwahori-Hecke algebras of type A
Andrew Mathas
Keywords
Iwahori-Hecke algebras, symmetric groups, Murphy
operators.
Status
J. Alg. Comb., 9 (1999),
295-313.
MR2000g:20023
Abstract
In this paper we introduce a family of polynomials
indexed by pairs of partitions and show that if these polynomials are
self-orthogonal then the centre of the Iwahori-Hecke algebra of the
symmetric group is precisely the set of symmetric polynomials in the Murphy
operators.
The paper is available as gzipped
dvi (33 kB) and
postscript (120 kB) files.
Alternatively, you can request a copy by
e-mailing me.
Andrew Mathas
16th October 1996.