Virtual Crystals and Kleber's Algorithm

  title={Virtual Crystals and Kleber's Algorithm},
  author={Masato Okado and Anne Schilling and Mark Shimozono},
  journal={Communications in Mathematical Physics},
  • Masato Okado, Anne Schilling, Mark Shimozono
  • Published 2003
  • Mathematics, Physics
  • Abstract: Kirillov and Reshetikhin conjectured what is now known as the fermionic formula for the decomposition of tensor products of certain finite dimensional modules over quantum affine algebras. This formula can also be extended to the case of q-deformations of tensor product multiplicities as recently conjectured by Hatayama et al. In its original formulation it is difficult to compute the fermionic formula efficiently. Kleber found an algorithm for the simply-laced algebras which… CONTINUE READING

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