Alternating quiver Hecke algebras

2015/04/21 by Boys, Clinton
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1504.05532

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.

Related

• Quiver Hecke algebras for alternating groups
• Generalized quiver Hecke algebras
• Path combinatorics and light leaves for quiver Hecke algebras
• Alternating signs of quiver coefficients
• Affinizations and R-matrices for quiver Hecke algebras