A new Weyl group action related to the quasi-classical Gelfand-Graev action

Abstract

We construct a Weyl group action on the DKS type varieties, a certain class of varieties associated with quivers. As a result, on some special DKS type varieties, we can give a quiver theoretic explanation of the quasi-classical Gelfand-Graev action discovered by Ginzburg and Riche and studied by Ginzburg and Kazhdan recently.

v3, 40 pages, 4 figures. Final, various minor corrections, the numbering of sections may be different from the published paper

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