منابع مشابه
Lie Atoms and Their Deformations
A Lie atom is essentially a pair of Lie algebras and its deformation theory is that of a deformation with respect to the first algebra, endowed with a trivialization with respect to the second. Such deformations occur commonly in Algebraic Geometry, for instance as deformations of subvarieties of a fixed ambient variety. Here we study some basic notions related to Lie atoms, focussing especiall...
متن کاملConstruction of Miniversal Deformations of Lie Algebras
In this paper we consider deformations of finite or infinite dimensional Lie algebras over a field of characteristic 0. By “deformations of a Lie algebra” we mean the (affine algebraic) manifold of all Lie brackets. Consider the quotient of this variety by the action of the group GL. It is well-known (see [Hart]) that in the category of algebraic varieties the quotient by a group action does no...
متن کاملDeformations of Simple Restricted Lie Algebras I
We compute the infinitesimal deformations of two families of simple restricted modular Lie algebras of Cartan-type: the Witt-Jacobson and the Special Lie algebras.
متن کاملDeformations of Restricted Simple Lie Algebras I
We compute the infinitesimal deformations of two families of simple restricted modular Lie algebras of Cartan-type: the Witt-Jacobson and the Special Lie algebras.
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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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1971
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1971-12615-0