Triangular Lie bialgebras and matched pairs for Lie algebras of real vector fields on .

Leitenberger, Frank

Displaying similar documents to “Triangular Lie bialgebras and matched pairs for Lie algebras of real vector fields on $S^{1}$ .”

On vector fields coinduced on a differential space and their Lie product

W. Waliszewski (1976)

Annales Polonici Mathematici

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Lie derivatives of sectorform fields

Ivan Kolář (1988)

Colloquium Mathematicae

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Lie derivative of vector fields on a differential space

Włodzimierz Waliszewski (1986)

Annales Polonici Mathematici

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Computations in finite-dimensional Lie algebras.

Cohen, A.M., de Graaf, W.A., Rónyai, L. (1997)

Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]

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Hom-Lie superalgebra structures on exceptional simple Lie superalgebras of vector fields

Liping Sun, Wende Liu (2017)

Open Mathematics

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According to the classification by Kac, there are eight Cartan series and five exceptional Lie superalgebras in infinite-dimensional simple linearly compact Lie superalgebras of vector fields. In this paper, the Hom-Lie superalgebra structures on the five exceptional Lie superalgebras of vector fields are studied. By making use of the ℤ-grading structures and the transitivity, we prove that there is only the trivial Hom-Lie superalgebra structures on exceptional simple Lie superalgebras....

Poisson-Lie groupoids and the contraction procedure

Kenny De Commer (2015)

Banach Center Publications

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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...

Dual vector fields ii: calculating the Jacobian

Philip Feinsilver, René Schott (2006)

Banach Center Publications

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Given a Lie algebra with a chosen basis, the change of coordinates relating coordinates of the first and second kinds near the identity of the corresponding local group yields some remarkable vector fields and dual vector fields. One family of vector fields is dual to a representation of the Lie algebra acting on a Fock-type space. To this representation an abelian family of dual vector fields is associated. The exponential of these commuting operators acting on an appropriate vacuum...