Alternating quiver Hecke algebras

作者：Boys Clinton^*

来源：Journal of Algebra, 2016, 449: 246-263.

DOI：10.1016/j.jalgebra.2015.10.020

• Alternating groups
• Alternating Hecke algebras
• Khovanov-Lauda-Rouquier algebras
• Representation theory

For simply-laced, reversible 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.

• 出版日期2016-3-1