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We compute two representations of COHA for $A_1$-quiver. The two untwistedrepresentations can be combined into a representation of $D_{n+1}$ Lie algebra.The untwisted increasing representation and the twisted decreasingrepresentation can be combined into a representation of a finite Cliffordalgebra.

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