Convolution algebra of diagram automorphism fixed quiver variety

Abstract

We study the convolution algebra $H_{\ast }(Z_W^{\theta })$ of homology on diagram automorphism fixed point quiver variety and prove that there exists an algebra homomorphism from the universal enveloping algebra of the diagram automorphism fixed algebra of the split quiver to $H_{\ast }(Z_W^{\theta })$.

9 pages. Comments are welcome