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arXiv · 1211.1754

The idempotents in cyclotomic Hecke algebras and periodic property of the Jucys-Murphy elements

Ge Li
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Abstract

This paper proves a periodic property of Jucys-Murphy elements of the degenerate and non-degenerate cy- clotomic Hecke algebras of type A. We do this by first giving a new closed formula for the KLR idempotents e(i) which, it tuns out, is very efficient computationally.

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BibTeXRIS

Ge Li. 2012-11-08. The idempotents in cyclotomic Hecke algebras and periodic property of the Jucys-Murphy elements. https://arxiv.org/abs/1211.1754

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