Results 41 to 50 of about 145 (139)
3-Leibniz bialgebras (3-Lie bialgebras) [PDF]
International Journal of Geometric Methods in Modern Physics, 2017 The aim of this paper is to extend the notion of Leibniz bialgebra (and Lie bialgebra) to [Formula: see text]-Leibniz bialgebra (and [Formula: see text]-Lie bialgebra) by use of the cohomology complex of [Formula: see text]-Leibniz algebras. Some theorems about Leibniz bialgebras are extended and proved in the case of [Formula: see text]-Leibniz ...
Rezaei-Aghdam, A., Sedghi-Ghadim, L.
openaire +2 more sources
A proof-theoretic approach to scope ambiguity in compositional vector space models
Journal of Language Modelling, 2019 We investigate the extent to which compositional vector space models can be used to account for scope ambiguity in quantified sentences (of the form Every man loves some woman).
Gijs Wijnholds
doaj +1 more source
Quantization of Lie bialgebras, II [PDF]
Selecta Mathematica, 1996 40 pages, amstex. The new version contains several changes throughout the paper suggested by the referee of Selecta Math. In particular, Chapter 10 (functoriality of quantization) is completely rewritten to make the exposition more clear and precise; the May 2016 version points out an error in the proof of Prop. 9.7 found by A.
Etingof, Pavel, Kazhdan, David
openaire +8 more sources
The Braiding Structure and Duality of the Category of Left–Left BiHom–Yetter–Drinfeld Modules
Mathematics, 2022 Let (H,μH,ΔH,αH,βH,ψH,ωH,SH) be a BiHom–Hopf algebra. First, we provide a non-trivial example of a left–left BiHom–Yetter–Drinfeld module and show that the category HHBHYD is a braided monoidal category.
Ling Liu, Bingliang Shen
doaj +1 more source
Partial magmatic bialgebras [PDF]
Homology, Homotopy and Applications, 2008 A partial magmatic bialgebra, (T;S)-magmatic bialgebra where T \subset S are subsets of the set of positive integers, is a vector space endowed with an n-ary operation for each n in S and an m-ary co-operation for each m in T satisfying some compatibility and unitary relations.
Burgunder, Emily, Holtkamp, Ralf
openaire +5 more sources
Journal of Algebra, 2013 We construct the algebra of fractions of a Weak Bialgebra relative to a suitable denominator set of group-like elements that is `almost central', a condition we introduce in the present article which is sufficient in order to guarantee existence of the algebra of fractions and to render it a Weak Bialgebra.
Bennoun, Steve, Pfeiffer, Hendryk
openaire +2 more sources
Curved and Layered Structures, 2019 The Cell Method (CM) is an algebraic numerical method based on the use of global variables: the configuration, source and energetic global variables. The configuration variables with their topological equations, on the one hand, and the source variables ...
Ferretti Elena
doaj +1 more source
The Classical Hom–Leibniz Yang–Baxter Equation and Hom–Leibniz Bialgebras
Mathematics, 2022 In this paper, we first introduce the notion of Hom–Leibniz bialgebras, which is equivalent to matched pairs of Hom–Leibniz algebras and Manin triples of Hom–Leibniz algebras.
Shuangjian Guo +2 more
doaj +1 more source
3-dimensional Λ-BMS symmetry and its deformations
Journal of High Energy Physics, 2021 In this paper we study quantum group deformations of the infinite dimensional symmetry algebra of asymptotically AdS spacetimes in three dimensions. Building on previous results in the finite dimensional subalgebras we classify all possible Lie bialgebra
Andrzej Borowiec +2 more
doaj +1 more source
Strongly Homotopy Lie Bialgebras and Lie Quasi-bialgebras [PDF]
Letters in Mathematical Physics, 2007 Structures of Lie algebras, Lie coalgebras, Lie bialgebras and Lie quasibialgebras are presented as solutions of Maurer-Cartan equations on corresponding governing differential graded Lie algebras using the big bracket construction of Kosmann-Schwarzbach.
openaire +3 more sources