Leibniz algebras with derivations

نویسندگان

چکیده

In this paper, we consider Leibniz algebras with derivations. A pair consisting of a algebra and distinguished derivation is called LeibDer pair. We define cohomology theory for coefficients in representation. study central extensions the next, generalize formal deformation to pairs which deform both bracket derivation. It governed by itself. Finally, homotopy derivations on sh 2-derivations 2-algebras. The category 2-term equivalent 2-algebras 2-derivations.

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ژورنال

عنوان ژورنال: Journal of Homotopy and Related Structures

سال: 2021

ISSN: ['2193-8407']

DOI: https://doi.org/10.1007/s40062-021-00280-w