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Canonical bases for quantum generalized Kac-Moody algebra

Quantum Algebra 2007-05-23 v1

Abstract

We construct a canonical basis for quantum generalized Kac-Moody algebra via semisimple perverse sheaves on varieties of representations of quivers. We compare this basis with the one recently defined purely algebraically by Jeong, Kang and Kashiwara.

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Cite

@article{arxiv.math/0311089,
  title  = {Canonical bases for quantum generalized Kac-Moody algebra},
  author = {Seok-Jin Kang and Olivier Schiffmann},
  journal= {arXiv preprint arXiv:math/0311089},
  year   = {2007}
}

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18 pages Latex