Results 111 to 120 of about 299,272 (139)
Higher current algebras, homotopy Manin triples, and a rectilinear adelic complex
Journal of Geometry and Physics, 2023 60 ...
Charles Alastair Stephen Young
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Journal of Algebra, 2023 In this paper, we introduce and develop the notion of a Manin triple for a Lie superalgebra $\mathfrak g$ defined over a field of characteristic $p=2$. We find cohomological necessary conditions for the pair $(\mathfrak g, \mathfrak g^*)$ to form a Manin triple.
Said Benayadi, Sofiane Bouarroudj
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Another approach to Hom-Lie bialgebras via Manin triples [PDF]
Communications in Algebra, 2020 26 ...
Yi Tao, Li Guo, Chengming Bai
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Manin-Olshansky Triples for Lie Superalgebras [PDF]
Journal of Nonlinear Mathematical Physics, 2000 Following V. Drinfeld and G. Olshansky, we construct Manin triples $(\fg, \fa, \fa^*)$ such that $\fg$ is different from Drinfeld's doubles of $\fa$ for several series of Lie superalgebras $\fa$ which have no even invariant bilinear form (periplectic, Poisson and contact) and for a remarkable exception. Straightforward superization of suitable Etingof--
Dimitry Alexander Leites
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Coideal algebras from twisted Manin triples
Journal of Geometry and Physics, 2012 We propose a new approach to study coideal algebras. It is well-known that Manin triples (or equivalently Lie bi-algebra structures) are the requirement to deform Lie algebras and to obtain quantum groups. In this paper, introducing some particular automorphisms of Manin triples, we define new structures that we call Lie bi-ideal structures.
Nicolas Crampe
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Left-symmetric bialgebroids and their corresponding Manin triples [PDF]
Differential Geometry and Its Applications, 2018 In this paper, we introduce the notion of a left-symmetric bialgebroid as a geometric generalization of a left-symmetric bialgebra and construct a left-symmetric bialgebroid from a pseudo-Hessian manifold. We also introduce the notion of a Manin triple for left-symmetric algebroids, which is equivalent to a left-symmetric bialgebroid. The corresponding
Jiefeng Liu, Yun-He Sheng, Chengming Bai
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Classification des triples de Manin pour les algèbres de Lie réductives complexes
Journal of Algebra, 2001 64 pages ...
Patrick Delorme
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