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arXiv · 1208.4446

Frobenius map for the centers of Hecke algebras

Jinkui Wan·Weiqiang Wang
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Abstract

We introduce a commutative associative graded algebra structure on the direct sum Z of the centers of the Hecke algebras associated to the symmetric groups in n letters for all n. As a natural deformation of the classical construction of Frobenius, we establish an algebra isomorphism from the algebra Z to the ring of symmetric functions. This isomorphism provides an identification between several distinguished bases for the centers (introduced by Geck-Rouquier, Jones, Lascoux) and explicit bases of symmetric functions.

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BibTeXRIS

Jinkui Wan, Weiqiang Wang. 2012-08-22. Frobenius map for the centers of Hecke algebras. https://arxiv.org/abs/1208.4446

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