Murphy operators and the centre of the
Iwahori-Hecke algebras of type A
Keywords Iwahori-Hecke algebras, symmetric groups, Murphy
Status J. Alg. Comb., 9 (1999),
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
The paper is available as gzipped
dvi (33 kB) and
postscript (120 kB) files.
Alternatively, you can request a copy by
16th October 1996.