Results 1 to 10 of about 21,852 (89)
Gerstenhaber and Batalin-Vilkovisky structures on modules over operads [PDF]
, 2015 In this article, we show under what additional ingredients a comp (or opposite) module over an operad with multiplication can be given the structure of a cyclic k-module and how the underlying simplicial homology gives rise to a Batalin-Vilkovisky module
Kowalzig, Niels
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Noncommutative supergeometry, duality and deformations [PDF]
, 2002 We introduce a notion of $Q$-algebra that can be considered as a generalization of the notion of $Q$-manifold (a supermanifold equipped with an odd vector field obeying $\{Q,Q\} =0$).
Albert Schwarz +30 more
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An inner automorphism is only an inner automorphism, but an inner endomorphism can be something strange [PDF]
, 2011 The inner automorphisms of a group G can be characterized within the category of groups without reference to group elements: they are precisely those automorphisms of G that can be extended, in a functorial manner, to all groups H given with ...
Bergman, George M.
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Vertex operator algebras and operads [PDF]
, 1993 Vertex operator algebras are mathematically rigorous objects corresponding to chiral algebras in conformal field theory. Operads are mathematical devices to describe operations, that is, $n$-ary operations for all $n$ greater than or equal to $0$, not ...
AA Belavin +12 more
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Differential Operators and Differential Calculus on $delta-$Hom-Jordan-Lie Superalgebras
پژوهشهای ریاضی, 2020 Introduction Hom-algebraic structures appeared first as a generalization of Lie algebras in [1,3], where the authors studied q-deformations of Witt and Virasoro algebras. A general study and construction of Hom-Lie algebras
Valiollah Khalili
doaj
Open-string vertex algebras, tensor categories and operads
, 2003 We introduce notions of open-string vertex algebra, conformal open-string vertex algebra and variants of these notions. These are ``open-string-theoretic,'' ``noncommutative'' generalizations of the notions of vertex algebra and of conformal vertex ...
Borcherds +12 more
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Cohomology and Deformation of Leibniz Pairs
, 1995 Cohomology and deformation theories are developed for Poisson algebras starting with the more general concept of a Leibniz pair, namely of an associative algebra $A$ together with a Lie algebra $L$ mapped into the derivations of $A$.
A. A Voronov +21 more
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Cohomology theories for homotopy algebras and noncommutative geometry
, 2007 This paper builds a general framework in which to study cohomology theories of strongly homotopy algebras, namely $A_\infty, C_\infty$ and $L_\infty$-algebras. This framework is based on noncommutative geometry as expounded by Connes and Kontsevich.
Alastair Hamilton +23 more
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A survey of equivariant map algebras with open problems
, 2013 This paper presents an overview of the current state of knowledge in the field of equivariant map algebras and discusses some open problems in this area.Comment: 18 pages.
Neher, Erhard, Savage, Alistair
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Extensions of associative algebras
, 2014 In this paper, we translate the problem of extending an associative algebra by another associative algebra into the language of codifferentials. The authors have been constructing moduli spaces of algebras and studying their structure by constructing ...
Fialowski, A., Penkava, M.
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