New Simple Lie Algebras of Prime Characteristic
نویسندگان
چکیده
منابع مشابه
Some new simple Lie algebras in characteristic 2
We describe an algorithm for computing automorphism groups and testing isomorphisms of finite dimensional Lie algebras over finite fields. The algorithm is particularly effective for simple or almost simple Lie algebras. We show how it can be used in a computer search for new small-dimensional simple Lie algebras over the field with two elements.
متن کاملDerivations of the Odd Contact Lie Algebras in Prime Characteristic
Abstract. The underlying field is of characteristic p > 2. In this paper, we first use the method of computing the homogeneous derivations to determine the first cohomology of the so-called odd contact Lie algebra with coefficients in the even part of the generalized Witt Lie superalgebra. In particular, we give a generating set for the Lie algebra under consideration. Finally, as an applicatio...
متن کاملClassification of finite dimensional simple Lie algebras in prime characteristics
We give a comprehensive survey of the theory of finite dimensional Lie algebras over an algebraically closed field of prime characteristic and announce that the classification of all finite dimensional simple Lie algebras over an algebraically closed field of characteristic p > 3 is now complete. Any such Lie algebra is up to isomorphism either classical or a filtered Lie algebra of Cartan type...
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: Transactions of the American Mathematical Society
سال: 1958
ISSN: 0002-9947
DOI: 10.2307/1993195