Results 1 to 10 of about 1,418 (162)
Physical constraints on quantum deformations of spacetime symmetries
Nuclear Physics B, 2018 In this work we study the deformations into Lie bialgebras of the three relativistic Lie algebras: de Sitter, Anti-de Sitter and Poincaré, which describe the symmetries of the three maximally symmetric spacetimes. These algebras represent the centerpiece
Flavio Mercati, Matteo Sergola
doaj +1 more source
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
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
Intuitionistic Fuzzy Subbialgebras and Duality
Journal of Applied Mathematics, 2014 We investigate connections between bialgebras and Atanassov’s intuitionistic fuzzy sets. Firstly we define an intuitionistic fuzzy subbialgebra of a bialgebra with an intuitionistic fuzzy subalgebra structure and also with an intuitionistic fuzzy ...
Wenjuan Chen, Bijan Davvaz
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
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
On Graded Bialgebra Deformations [PDF]
Algebra Colloquium, 2007 We introduce the graded bialgebra deformations, which explain the lifting method of Andruskiewitsch and Schneider. We also relate these graded bialgebra deformations with the corresponding graded bialgebra cohomology groups, which is the graded version of the one due to Gerstenhaber and Schack.
Du, Yu, Chen, Xiaowu, Ye, Yu
openaire +3 more sources
Biquantization of Lie bialgebras [PDF]
Pacific Journal of Mathematics, 2000 67 pages, no ...
Kassel, Christian, Turaev, Vladimir
openaire +4 more sources
Manin Triples and Bialgebras of Left-Alia Algebras Associated with Invariant Theory
MathematicsA left-Alia algebra is a vector space together with a bilinear map satisfying the symmetric Jacobi identity. Motivated by invariant theory, we first construct a class of left-Alia algebras induced by twisted derivations. Then, we introduce the notions of
Chuangchuang Kang +3 more
doaj +1 more source
LIE BIALGEBRAS ARISING FROM POISSON BIALGEBRAS [PDF]
Journal of the Korean Mathematical Society, 2010 It gives a method to obtain a natural Lie bialgebra from a Poisson bialgebra by an algebraic point of view. Let g be a coboundary Lie bialgebra associated to a Poission Lie group G. As an application, we obtain a Lie bialgebra from a sub-Poisson bialgebra of the restricted dual of the universal enveloping algebra U(g).
Sei-Qwon Oh, Eun-Hee Cho
openaire +1 more source