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The Hecke algebra and structure constants of the ring of symmetric polynomials

Alain Lascoux
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Abstract

We give half a dozen bases of the Hecke algebra of the symmetric group, and relate them to the basis of Geck-Rouquier, and to the basis of Jones, using matrices of change of bases of the ring of symmetric polynomials.

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Alain Lascoux. 2006-02-17. The Hecke algebra and structure constants of the ring of symmetric polynomials. https://arxiv.org/abs/math/0602379

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