Leibniz Homology of the Affine Indefinite Orthogonal Lie Algebra

Abstract

In this paper, we compute the Leibniz (co)homology of the affine indefinite orthogonal Lie algebra. This calculation generalizes a result [corollary 4.5]JL obtained by Jerry Lodder. We construct several indefinite orthogonal invariants in terms of balanced tensors and provide the Leibniz homology in terms of these invariants.

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