Results 11 to 20 of about 83 (77)
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
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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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Journal of Lie Theory, 2021 In this paper we introduce the notion of Hom-pre-Lie bialgebra in the general framework of the cohomology theory for Hom-Lie algebras. We show that Hom-pre-Lie bialgebras, standard Manin triples for Hom-pre-Lie algebras and certain matched pairs of Hom-pre-Lie algebras are equivalent.
Liu, Shanshan +2 more
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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.
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Factorizable Lie Bialgebras, Quadratic Rota–Baxter Lie Algebras and Rota–Baxter Lie Bialgebras
Communications in Mathematical Physics, 2022 26 pages, comments are ...
Honglei Lang, Yunhe Sheng
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Quantization of Color Lie Bialgebras [PDF]
, 2019 The main purpose of this paper is to study Quantization of color Lie bialgebras, generalizing to color case the approach by Etingof-Kazhdan which were considered for superbialgebras by Geer. Moreover we discuss Drinfeld category, Quantization of Triangular color Lie bialgebras and Simple color Lie bialgebras of Cartan type.
Hurle, Benedikt, Makhlouf, Abdenacer
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Extending Structures for Lie Bialgebras
Journal of Lie Theory, 2023 Let $(\mathfrak{g}, [\cdot,\cdot], δ_\mathfrak{g})$ be a fixed Lie bialgebra, $E$ be a vector space containing $\mathfrak{g}$ as a subspace and $V$ be a complement of $\mathfrak{g}$ in $E$. A natural problem is that how to classify all Lie bialgebraic structures on $E$ such that $(\mathfrak{g}, [\cdot,\cdot], δ_\mathfrak{g})$ is a Lie sub-bialgebra up ...
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Quantization of Gamma-Lie bialgebras
, 2006 We introduce the notion of Gamma-Lie bialgebra, where Gamma is a group. These objects give rise to cocommutative co-Poisson algebras, for which we construct quantization functors. This enlarges the class of co-Poisson algebras for which a quantization is known.
Enriquez, Benjamin, Halbout, Gilles
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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.
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