The double of representations of Cohomological Hall Algebra for $A_1$-quiver

Abstract

We compute two representations of COHA for $A_1$-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.

13 pages

References in corpus (1)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations

Cited by in corpus (2)

• Cohomological Hall algebras and perverse coherent sheaves on toric Calabi-Yau 3-folds
• Yang-Baxter algebras as convolution algebras: The Grassmannian case