Canonical bases for quantum generalized Kac-Moody algebra

Details Canonical bases for quantum generalized Kac-Moody algebra Canonical bases for quantum generalized Kac-Moody algebra

2003-11-06

arxiv.org/abs/math/0311089v1

Mathematics

Quantum Algebra

18 pages Latex

Scientific paper

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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