Quantum Borcherds-Bozec algebras and their integrable representations

Published 12 Dec 2019 in math.RT | (1912.06115v1)

Abstract: We investigate the fundamental properties of quantum Borcherds-Bozec algebras and their representations. Among others, we prove that the quantum Borcherds-Bozec algebras have a triangular decomposition and the category of integrable representations is semi-simple.

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