Quantum Koszul complexes for Majid’s braided Lie algebras

Abstract

A Yang–Baxter operator was canonically associated to any cocommutative braided Lie algebra as defined by Majid. Applying previous results, we construct quantum Koszul complexes for braided Lie algebras with respect to this operator. In the usual case, the complexes reduce to the Chevalley–Eilenberg complexes for classical Lie algebras.