Canonical bases for quantum generalized Kac-Moody algebra
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algebrabasiscanonicalgeneralizedkac-moodyquantumalgebraicallybases
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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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