منابع مشابه
Deformations and contractions of Lie algebras
We discuss the mutually opposite procedures of deformations and contractions of Lie algebras. Our main purpose is to illustrate the fact that, with appropriate combinations of both procedures, we obtain new Lie algebras. Firstly, we discuss low-dimensional Lie algebras, and these simple examples illustrate that, whereas for every contraction there exists a reverse deformation, the converse is n...
متن کاملOn Deformations and Contractions of Lie Algebras
In this contributed presentation, we discuss and compare the mutually opposite procedures of deformations and contractions of Lie algebras. We suggest that with appropriate combinations of both procedures one may construct new Lie algebras. We first discuss low-dimensional Lie algebras and illustrate thereby that whereas for every contraction there exists a reverse deformation, the converse is ...
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Lie bialgebra contractions are introduced and classified. A non-degenerate coboundary bialgebra structure is implemented into all pseudo-orthogonal algebras so(p, q) starting from the one corresponding to so(N +1). It allows to introduce a set of Lie bialgebra contractions which leads to Lie bialgebras of quasi-orthogonal algebras. This construction is explicitly given for the cases N = 2, 3, 4...
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Contrary to the expected behavior, we show the existence of noninvertible deformations of Lie algebras which can generate invariants for the coadjoint representation, as well as delete cohomology with values in the trivial or adjoint module. A criterion to decide whether a given deformation is invertible or not is given in dependence of the Poincaré polynomial. PACS numbers: 02.20Sv, 02.20Qs, 9...
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In this manuscript, we consider the interpolative contractions mappings via simulation func-tions in the setting of complete metric space. We also express an illustrative example to show the validity of our presented results.
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ژورنال
عنوان ژورنال: American Journal of Mathematics
سال: 2019
ISSN: 1080-6377
DOI: 10.1353/ajm.2019.0018