The double of representations of Cohomological Hall Algebra for A₁-quiver

2014/07/28 by Xiao, Xinli
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1407.7593

Abstract

We compute two representations of COHA for A₁-quiver. The two untwisted representations can be combined into a representation of D_n+1 Lie algebra. The untwisted increasing representation and the twisted decreasing representation can be combined into a representation of a finite Clifford algebra.

Related

• Cohomological Hall algebras and vertex algebras
• On the Cohomological Hall Algebra of Dynkin quivers
• Representations of cohomological Hall algebras and Donaldson-Thomas theory with classical structure groups
• Geometric construction of generators of CoHA of doubled quiver
• The loop-nilpotent cohomological Hall algebra