Matched pairs of topological Lie algebras corresponding to Lie bialgebra structures on $diff(S^1)$ and $diff(\mathbf {R})$

Edwin Beggs; Shahn Majid

Displaying similar documents to “Matched pairs of topological Lie algebras corresponding to Lie bialgebra structures on $d i f f (S^{1})$ and $d i f f (𝐑)$ ”

Expansion of inhomogenizations of all the classical Lie algebras to classical Lie algebras

John G. Nagel (1970)

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Poisson-Lie groups and complete integrability. I. Drinfeld bigebras, dual extensions and their canonical representations

Y. Kosmann-Schwarzbach, F. Magri (1988)

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Normal Lie subsupergroups and non-abelian supercircles.

Baguis, P., Stavracou, T. (2002)

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We consider a real analytic dynamical system G×M→M with nonempty fixed point subset M G. Using symmetries of G×M→M, we give some conditions which imply the existence of transitive Lie transformation group with G as isotropy subgroup.

Lie supergroups obtained from 3-dimensional Lie superalgebras associated to the adjoint representation and having a 2-dimensional derived ideal.

Hernández, I., Peniche, R. (2008)

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Bialgebra structures on a real semisimple Lie algebra.

Chloup, Véronique (1995)

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Poisson-Lie groupoids and the contraction procedure

Kenny De Commer (2015)

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On the level of Lie algebras, the contraction procedure is a method to create a new Lie algebra from a given Lie algebra by rescaling generators and letting the scaling parameter tend to zero. One of the most well-known examples is the contraction from 𝔰𝔲(2) to 𝔢(2), the Lie algebra of upper-triangular matrices with zero trace and purely imaginary diagonal. In this paper, we will consider an extension of this contraction by taking also into consideration the natural bialgebra structures...

A criterion for the minimal closedness of the Lie subalgebra corresponding to a connected nonclosed Lie subgroup.

Jan Kubarski (1991)

Revista Matemática de la Universidad Complutense de Madrid

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Displaying similar documents to “Matched pairs of topological Lie algebras corresponding to Lie bialgebra structures on d i f f ( S 1 ) and d i f f ( 𝐑 ) ”

Displaying similar documents to “Matched pairs of topological Lie algebras corresponding to Lie bialgebra structures on $d i f f (S^{1})$ and $d i f f (𝐑)$ ”