Displaying similar documents to “Truncated Lie groups and almost Klein models”

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....

Characteristic classes of regular Lie algebroids – a sketch

Kubarski, Jan

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The discourse begins with a definition of a Lie algebroid which is a vector bundle p : A → M over a manifold with an R -Lie algebra structure on the smooth section module and a bundle morphism γ : A → T M which induces a Lie algebra morphism on the smooth section modules. If γ has constant rank, the Lie algebroid is called regular. (A monograph on the theory of Lie groupoids and Lie algebroids is published by [Lie groupoids and Lie algebroids in differential geometry (1987; Zbl 0683.53029)].) A principal...