English

Geometric construction of crystal bases for quantum generalized Kac-Moody algebras

Quantum Algebra 2008-10-31 v1 Representation Theory

Abstract

We provide a geometric realization of the crystal B()B(\infty) for quantum generalized Kac-Moody algebras in terms of the irreducible components of certain Lagrangian subvarieties in the representation spaces of a quiver.

Keywords

Cite

@article{arxiv.0810.5493,
  title  = {Geometric construction of crystal bases for quantum generalized Kac-Moody algebras},
  author = {Seok-Jin Kang and Masaki Kashiwara and Olivier Schiffmann},
  journal= {arXiv preprint arXiv:0810.5493},
  year   = {2008}
}

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24 pages