Results 51 to 60 of about 145 (139)
The κ-Newtonian and κ-Carrollian algebras and their noncommutative spacetimes
Physics Letters B, 2020 We derive the non-relativistic c→∞ and ultra-relativistic c→0 limits of the κ-deformed symmetries and corresponding spacetime in (3+1) dimensions, with and without a cosmological constant.
Angel Ballesteros +3 more
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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
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Bialgebra cohomology and exact sequences
Comptes Rendus. MathématiqueWe show how the bialgebra cohomologies of two Hopf algebras involved in an exact sequence are related, when the third factor is finite-dimensional cosemisimple. As an application, we provide a short proof of the computation of the bialgebra cohomology of
Bichon, Julien
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Biquantization of Lie bialgebras [PDF]
Pacific Journal of Mathematics, 2000 67 pages, no ...
Kassel, Christian, Turaev, Vladimir
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Extended noncommutative Minkowski spacetimes and hybrid gauge symmetries
European Physical Journal C: Particles and Fields, 2018 We study the Lie bialgebra structures that can be built on the one-dimensional central extension of the Poincaré and (A)dS algebras in (1 + 1) dimensions.
Angel Ballesteros, Flavio Mercati
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Annales de l'Institut Fourier, 2011 The goal of our work is to study the spaces of primitive elements of some combinatorial Hopf algebras, whose underlying vector spaces admit linear basis labelled by subsets of the set of maps between finite sets. In order to deal with these objects we introduce the notion of shuffle algebras, which are coloured algebras where composition is not always ...
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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
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Quantization of infinitesimal braidings and pre‐Cartier quasi‐bialgebras
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the nonsymmetric case. The algebraic counterpart of these categories is the notion of a pre‐Cartier quasi‐bialgebra, which extends the well‐known notion of quasi‐triangular quasi‐bialgebra given by Drinfeld.
Chiara Esposito +3 more
wiley +1 more source
Jacobi–Lie symmetry and Jacobi–Lie T-dual sigma models on group manifolds
Nuclear Physics B, 2018 Using the concept of Jacobi–Lie group and Jacobi–Lie bialgebra, we generalize the definition of Poisson–Lie symmetry to Jacobi–Lie symmetry. In this regard, we generalize the concept of Poisson–Lie T-duality to Jacobi–Lie T-duality and present Jacobi–Lie
A. Rezaei-Aghdam, M. Sephid
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Ore Extensions for the Sweedler’s Hopf Algebra H4
Mathematics, 2020 The aim of this paper is to classify all Hopf algebra structures on the quotient of Ore extensions H4[z;σ] of automorphism type for the Sweedler′s 4-dimensional Hopf algebra H4.
Shilin Yang, Yongfeng Zhang
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