Simple Lie Algebras of Small Characteristic II. Exceptional Roots
نویسندگان
چکیده
منابع مشابه
Jordan Gradings on Exceptional Simple Lie Algebras
Models of all the gradings on the exceptional simple Lie algebras induced by Jordan subgroups of their groups of automorphisms are provided.
متن کاملTits Construction of the Exceptional Simple Lie Algebras
The classical Tits construction of the exceptional simple Lie algebras has been extended in a couple of directions by using either Jordan superalgebras or composition superalgebras. These extensions are reviewed here. The outcome has been the discovery of some new simple modular Lie superalgebras.
متن کاملDeformations of Restricted Simple Lie Algebras Ii
We compute the infinitesimal deformations of two families of restricted simple modular Lie algebras of Cartan-type: the Contact and the Hamiltonian Lie algebras.
متن کاملA family of simple Lie algebras in characteristic two
As reported by A.I. Kostrikin in his paper [21], the very first algebra which distinguished modular (i.e. over fields of positive characteristic p) Lie algebra theory from the classical one was the Witt algebra W (1 : k), where k is a power of p. This algebra is a generalization due to H. Zassenhaus [31] in the thirties of an analogous structure defined by E. Witt over the integers. This algebr...
متن کاملGroup Gradings on Simple Lie Algebras in Positive Characteristic
In this paper we describe all gradings by a finite abelian group G on the following Lie algebras over an algebraically closed field F of characteristic p = 2: sln(F ) (n not divisible by p), son(F ) (n ≥ 5, n = 8) and spn(F ) (n ≥ 6, n even).
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: 1999
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7746