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Matched Pairs of Generalized Lie Algebras and Cocycle Twists

Published 25 Aug 2021 in math.QA, math-ph, math.MP, and math.RA | (2108.11808v1)

Abstract: We introduce the conception of matched pairs of $(H, \beta)$-Lie algebras, construct an $(H, \beta)$-Lie algebra through them. We prove that the cocycle twist of a matched pair of $(H, \beta)$-Lie algebras can also be matched.

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