On vector fields coinduced on a differential space and their Lie product
W. Waliszewski (1976)
Annales Polonici Mathematici
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Displaying similar documents to “Lie derivatives of sectorform fields”
On vector fields coinduced on a differential space and their Lie product
Lie derivative of vector fields on a differential space
Włodzimierz Waliszewski (1986)
Annales Polonici Mathematici
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Triangular Lie bialgebras and matched pairs for Lie algebras of real vector fields on .
Leitenberger, Frank (1994)
Journal of Lie Theory
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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...
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....