Results 11 to 20 of about 78,913 (124)
On deformation cohomology of compatible Hom-associative algebras [PDF]
arXiv, 2022 In this paper, we consider compatible Hom-associative algebras as a twisted version of compatible associative algebras. Compatible Hom-associative algebras are characterized as Maurer-Cartan elements in a suitable bidifferential graded Lie algebra. We also define a cohomology theory for compatible Hom-associative algebras generalizing the classical ...
arxiv
Compatible discrete series [PDF]
Pacific Journal of Mathematics, 2003 AmsTex file, 27 Pages; minor corrections; to appear in Pacific Journal of ...
P. Cellini +2 more
openaire +6 more sources
$L_\infty$-structures and cohomology theory of compatible $\mathcal {O}$-operators and compatible dendriform algebras [PDF]
arXiv, 2022 The notion of $\mathcal{O}$-operator is a generalization of the Rota-Baxter operator in the presence of a bimodule over an associative algebra. A compatible $\mathcal{O}$-operator is a pair consisting of two $\mathcal{O}$-operators satisfying a compatibility relation.
arxiv
Deformations and abelian extensions of compatible pre-Lie algebras [PDF]
arXiv, 2023 In this paper, we first give the notation of a compatible pre-Lie algebra and its representation. We study the relation between compatible Lie algebras and compatible pre-Lie algebras. We also construct a new bidifferential graded Lie algebra whose Maurer-Cartan elements are compatible pre-Lie structures.
arxiv
Compatible Geometric Matchings [PDF]
Electronic Notes in Discrete Mathematics, 2008 This paper studies non-crossing geometric perfect matchings. Two such perfect matchings are \emph{compatible} if they have the same vertex set and their union is also non-crossing. Our first result states that for any two perfect matchings $M$ and $M'$ of the same set of $n$ points, for some $k\in\Oh{\log n}$, there is a sequence of perfect matchings ...
Aichholzer, Oswin +12 more
openaire +5 more sources
On compatible Lie and pre-Lie Yamaguti algebras [PDF]
arXiv, 2023 This study aims to generalize the notion of compatible Lie algebras to the compatible Lie Yamaguti algebras. Along with describing the representation of the compatible Lie Yamaguti algebra in detail, we also introduce the Maurer-Cartan characterization and cohomology of Lie Yamaguti algebras.
arxiv
Cohomology of compatible BiHom-Lie algebras [PDF]
arXiv, 2023 This paper defines compatible BiHom-Lie algebras by twisting the compatible Lie algebras by two linear commuting maps. We show the characterization of compatible BiHom-Lie algebra as a Maurer-Cartan element in a suitable bidifferential graded Lie algebra. We also define a cohomology theory for compatible BiHom-Lie algebras.
arxiv
On compatible Leibniz algebras [PDF]
arXiv, 2023 In this paper, we study compatible Leibniz algebras. We characterize compatible Leibniz algebras in terms of Maurer-Cartan elements of a suitable differential graded Lie algebra. We define a cohomology theory of compatible Leibniz algebras which in particular controls a one-parameter formal deformation theory of this algebraic structure. Motivated by a
arxiv
On compatible Hom-Lie triple systems [PDF]
arXiv, 2023 In this paper, we consider compatible Hom-Lie triple systems. Compatible Hom-Lie triple systems are characterized as Maurer-Cartan elements in a suitable bidifferential graded Lie algebra. We also define a cohomology theory for compatible Hom-Lie triple systems.
arxiv
Compatible structures on unary binary nonsymmetric operads with quadratic and cubic relations [PDF]
arXiv, 2021 Various compatibility conditions among replicated copies of operations in a given algebraic structure have appeared in broad contexts in recent years. Taking an uniform approach, this paper gives an operadic study of compatibility conditions for nonsymmetric operads with unary and binary operations, and homogeneous quadratic and cubic relations.
arxiv