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Irreducible representations of the twisted Heisenberg-Virasoro algebra of Hom type (2305.02692v1)
Published 4 May 2023 in math.RT and math.RA
Abstract: Hom-Lie algebras are non-associative algebras generalizing Lie algebras by twisting the Jacobi identity by a linear map. In this paper, we mainly study the irreducible representation of the twisted Heisenberg-Virasoro algebra of Hom-type, which can be induced by the irreducible representations of its induced Lie algebra. In particular, we construct some kinds of irreducible representations of the twisted Heisenberg-Virasoro algebra of Hom-type.
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