Tensor product varieties and crystals. GL case

  title={Tensor product varieties and crystals. GL case},
  author={Anton Malkin},
  journal={arXiv: Algebraic Geometry},
  • A. Malkin
  • Published 5 March 2001
  • Mathematics
  • arXiv: Algebraic Geometry
Let g be a simple simply laced Lie algebra. In this paper two families of varieties associated to the Dynkin graph of g are described: ``tensor product'' and ``multiplicity'' varieties. These varieties are closely related to Nakajima's quiver varieties and should play an important role in the geometric constructions of tensor products and intertwining operators. In particular it is shown that the set of irreducible components of a tensor product variety can be equipped with a structure of g… 

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