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Canonical bases for quantum generalized Kac-Moody algebra

Seok-Jin Kang, Olivier Schiffmann

math.QAarXiv:math/0311089

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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