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Polyhedral realization of Crystal bases for Generalized Kac-Moody Algebras

Quantum Algebra 2014-02-26 v1 Representation Theory

Abstract

In this paper, we give polyhedral realization of the crystal B()B(\infty) of Uq(g)U_q^-(\mathfrak g) for the generalized Kac-Moody algebras. As applications, we give explicit descriptions of crystals for the generalized Kac-Moody algebras of rank 2, 3 and {\it Monster Lie algebras}.

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Cite

@article{arxiv.math/0610711,
  title  = {Polyhedral realization of Crystal bases for Generalized Kac-Moody Algebras},
  author = {Dong-Uy Shin},
  journal= {arXiv preprint arXiv:math/0610711},
  year   = {2014}
}

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20 pages