Alternating quiver Hecke algebras

Published 21 Apr 2015 in math.RT | (1504.05532v1)

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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Clinton Boys

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