Equivariant one-parameter deformations of Lie triple systems
نویسندگان
چکیده
In this article, we introduce equivariant formal deformation theory of Lie triple systems. We an cohomology systems and using study the
منابع مشابه
Quasi-classical Lie-super Algebra and Lie-super Triple Systems
Notions of quasi-classical Lie-super algebra as well as Lie-super triple systems have been given and studied with some examples. Its application to Yang-Baxter equation has also been given. 1991 Mathematics Subject Classification Primary 17A40, 17B60
متن کاملOn Lie Algebras and Triple Systems
In this paper, we consider several different constructions of simple B3-type Lie algebras from several triple systems and the correspondence with extended Dynkin diagrams associated with such triple systems.
متن کاملOne-Parameter Toric Deformations of Cyclic Quotient Singularities
In the case of two-dimensional cyclic quotient singularities, we classify all oneparameter toric deformations in terms of certain Minkowski decompositions introduced by Altmann [1]. In particular, we describe to which components each such deformation maps, show how to induce each deformation from a versal family, give explicit equations for each deformation, describe the singularities in the ge...
متن کاملMultidimensional integrable systems from deformations of Lie algebra homomorphisms
We use deformations of Lie algebra homomorphisms to construct deformations of dispersionless integrable systems arising as symmetry reductions of anti–self–dual Yang–Mills equations with a gauge group Diff(S). email [email protected] email [email protected] email [email protected]
متن کاملMultidimensional integrable systems and deformations of Lie algebra homomorphisms
We use deformations of Lie algebra homomorphisms to construct deformations of dispersionless integrable systems arising as symmetry reductions of anti–self–dual Yang–Mills equations with a gauge group Diff(S). email [email protected] email [email protected] email [email protected]
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2021
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2020.10.015