Deformation of Lie algebras and Lie algebras of deformations
Harald Bjar, Olav Arnfinn Laudal (1990)
Compositio Mathematica
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Harald Bjar, Olav Arnfinn Laudal (1990)
Compositio Mathematica
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Adrian Vasiu (2005)
Open Mathematics
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We include short and elementary proofs of two theorems that characterize reductive group schemes over a discrete valuation ring, in a slightly more general context.
Wojtyński, Wojciech
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Hernández, I., Peniche, R. (2008)
International Journal of Mathematics and Mathematical Sciences
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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...
Kubarski, Jan
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[For the entire collection see Zbl 0699.00032.] It was previously known that for every principal fibre bundle P there is some corresponding transitive Lie algebroid A(P) - a vector bundle equipped with some structure like the structure of a Lie algebra in the module of sections. The author of this article shows that the Chern-Weil homomorphism of P is a notion of the Lie algebroid of P, i.e. knowing only A(P) of P one can uniquely reproduce the ring of invariant polynomials and the...