A note on quivers with symmetries

Details A note on quivers with symmetries A note on quivers with symmetries

1997-07-02

arxiv.org/abs/q-alg/9707003v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, AMS-LATEX file

Scientific paper

We show that the bases of irreducible integrable highest weight module of a non-symmetric Kac-Moody algebra, which is associated to a quiver with a nontrivial admissible automorphism, can be naturally identified with a set of certain invariant Langrangian irreducible subvarieties of certain varieties associated with the quiver defined by Nakajima. In the case of non-symmetric affine or finite Kac-Moody algebras, the bases can be naturally identified with a set of certain invariant Langrangian irreducible subvarieties of a particular deformation of singularities of the moduli space of instantons over A-L-E spaces. The motivation of this paper comes from string/string duality and the paper is ended with questions and speculations related to string/string duality.

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