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arXiv · 1504.05532

Alternating quiver Hecke algebras

Clinton Boys
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Abstract

For simply-laced quivers, we consider the fixed-point subalgebra of the quiver Hecke algebra under the homogeneous sign map. This leads to a new family of algebras we call alternating quiver Hecke algebras. We give a basis theorem and a presentation by generators and relations which is strikingly similar to the KLR presentation for quiver Hecke algebras.

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BibTeXRIS

Clinton Boys. 2015-04-21. Alternating quiver Hecke algebras. https://arxiv.org/abs/1504.05532

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