Murphy Operators and the Centre of the Iwahori-Hecke Algebras of Type A
نویسنده
چکیده
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.
منابع مشابه
Murphy operators and the centre of the Iwahori – Hecke algebras of type
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.
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