Lie Semialgebras are Real Phenomena.
Karl Heinrich Hofmann, Joachim Hilgert (1985)
Mathematische Annalen
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Karl Heinrich Hofmann, Joachim Hilgert (1985)
Mathematische Annalen
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Gordon Brown (1982)
Mathematische Annalen
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Jan Kubarski (1991)
Revista Matemática de la Universidad Complutense de Madrid
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Baguis, P., Stavracou, T. (2002)
International Journal of Mathematics and Mathematical Sciences
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Kubarski, Jan
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The discourse begins with a definition of a Lie algebroid which is a vector bundle over a manifold with an -Lie algebra structure on the smooth section module and a bundle morphism which induces a Lie algebra morphism on the smooth section modules. If 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...
Jan Kubarski (1994)
Publications du Département de mathématiques (Lyon)
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Mackenzie, K.C.H. (1998)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Nijenhuis, A. (1996)
Archivum Mathematicum
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Jan Kubarski (2006)
Czechoslovak Mathematical Journal
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This paper is a continuation of [19], [21], [22]. We study flat connections with isolated singularities in some transitive Lie algebroids for which either or or are isotropy Lie algebras. Under the assumption that the dimension of the isotropy Lie algebra is equal to , where is the dimension of the base manifold, we assign to any such isolated singularity a real number called an index. For -Lie algebroids, this index cannot be an integer. We prove the index theorem (the Euler-Poincaré-Hopf...
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....
Włodzimierz Waliszewski (1986)
Annales Polonici Mathematici
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