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arXiv · 1907.10571

A diamond lemma for Hecke-type algebras

Ben Elias
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Abstract

In this paper we give a version of Bergman's diamond lemma which applies to certain monoidal categories presented by generators and relations. In particular, it applies to: the Coxeter presentation of the symmetric groups, the quiver Hecke algebras of Khovanov-Lauda-Rouquier, the Webster tensor product algebras, and various generalizations of these. We also give an extension of Manin-Schechtmann theory to non-reduced expressions.

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Ben Elias. 2019-07-24. A diamond lemma for Hecke-type algebras. https://arxiv.org/abs/1907.10571

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