Quantum Borcherds-Bozec superalgebras are introduced with proofs of a bilinear form, higher Serre relations, quasi-R-matrix, character formula for irreducible highest weight modules, and semisimplicity of integrable representations.
E.Borcherds, Monstrous moonshine and monstrous Lie superalgebras, Inv
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Quantum Borcherds-Bozec Superalgebras
Quantum Borcherds-Bozec superalgebras are introduced with proofs of a bilinear form, higher Serre relations, quasi-R-matrix, character formula for irreducible highest weight modules, and semisimplicity of integrable representations.