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.
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Mathas, A. Murphy Operators and the Centre of the Iwahori-Hecke Algebras of Type A. Journal of Algebraic Combinatorics 9, 295–313 (1999). https://doi.org/10.1023/A:1018604404327
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DOI: https://doi.org/10.1023/A:1018604404327