Representations and one-parameter formal deformations of BiHom-Novikov superalgebras
type: Item
instance of: scholarly article
title: Representations and one-parameter formal deformations of BiHom-Novikov superalgebras
zbMATH Open document ID: 1485.17035
author: Abdelkader Ben Hassine
author: Liangyun Chen
author: Chang Sun
published in: Rocky Mountain Journal of Mathematics
publication date: 2021-09-10T00:00:00Z
review text: The present paper is devoted to defining and studying some obvious properties of BiHom-Novikov superalgebras. The authors use some well-known results about Novikov algebras and Novikov superalgebras and rewrite them to BiHom-case, using some trivial analogs. In particular, they talk about quadratic BiHom-Novikov superalgebras, cohomology, and deformations of BiHom-Novikov superalgebras
Mathematics Subject Classification ID: 17D30
zbMATH DE Number: 7393775
zbMATH Keywords: 1-parameter formal deformations
zbMATH Keywords: BiHom-Novikov superalgebras
zbMATH Keywords: quadratic BiHom-Novikov superalgebras
reviewed by: I. B. Kaĭgorodov
MaRDI profile type: Publication
cites work: Hom-Lie superalgebras and Hom-Lie admissible superalgebras
cites work: The realization of non-transitive Novikov algebras
cites work: A Lie algebraic approach to Novikov algebras.
cites work: On the Novikov algebra structures adapted to the automorphism structure of a Lie group.
cites work: Q3744927
cites work: Vertex algebras, Kac-Moody algebras, and the Monster
cites work: A kind of infinite-dimensional Novikov algebras and its realizations
cites work: Two kinds of Novikov algebras and their realizations
cites work: Q3346635
cites work: Q3865176
cites work: On the deformation of rings and algebras
cites work: On the deformation of rings and algebras. II
cites work: On the deformation of rings and algebras. III
cites work: On the deformation of rings and algebras. IV
cites work: The construction and deformation of BiHom-Novikov algebras
cites work: Novikov Superalgebras in Low Dimensions
cites work: On deformations of complex analytic structures. I
cites work: Hom-Nijienhuis operators and \(T^*\)-extensions of hom-Lie superalgebras
cites work: BiHom-pre-Lie algebras, BiHom-Leibniz algebras and Rota-Baxter operators on BiHom-Lie algebras
cites work: Novikov Super-Algebras with Associative Non-Degenerate Super-Symmetric Bilinear Forms
cites work: Cohomology and deformations in graded Lie algebras
cites work: Simple novikov algebras with an idempotent
cites work: Infinite dimensional Novikov algebras of characteristic \(O\)
cites work: \(T^\ast\)-extension and 1-parameter formal deformation of Novikov superalgebras
cites work: BiHom-Lie superalgebra structures and BiHom-Yang-Baxter equations
cites work: On simple Novikov algebras and their irreducible modules
cites work: Novikov-Poisson algebras
cites work: Hom–Novikov algebras
cites work: Q3765944
cites work: A Hom-version of the affinizations of Balinskii–Novikov and Novikov superalgebras
cites work: Representations andT*-Extensions of Hom–Jordan–Lie Algebras
description: scientific article; zbMATH DE number 7393775