Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665669 | Advances in Mathematics | 2014 | 52 Pages |
Abstract
We show that the fixed-point subvariety of a Nakajima quiver variety under a diagram automorphism is a disconnected union of quiver varieties for the ‘split-quotient quiver’ introduced by Reiten and Riedtmann. As a special case, quiver varieties of type D arise as the connected components of fixed-point subvarieties of diagram involutions of quiver varieties of type A. In the case where the quiver varieties of type A correspond to small self-dual representations, we show that the diagram involutions coincide with classical involutions of two-row Slodowy varieties. It follows that certain quiver varieties of type D are isomorphic to Slodowy varieties for orthogonal or symplectic Lie algebras.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Anthony Henderson, Anthony Licata,