Murphy operators and the centre of the
Iwahori-Hecke algebras of type A

Andrew Mathas


Iwahori-Hecke algebras, symmetric groups, Murphy operators.


J. Alg. Comb., 9 (1999), 295-313.


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