3 0 A ug 2 00 6 LARGE RESTRICTED LIE ALGEBRAS
نویسنده
چکیده
We establish some results about large restricted Lie algebras similar to those known in the Group Theory. As an application, we use this group-theoretic approach to produce some examples of restricted as well as ordinary Lie algebras which can serve as counterexamples for various Burnside type questions.
منابع مشابه
ar X iv : 0 70 8 . 17 19 v 1 [ he p - th ] 1 3 A ug 2 00 7 Characters of the Unitarizable Highest Weight Modules over the N =
The N=2 superconformal (or super-Virasoro) algebras in two dimensions are three complex Lie superalgebras: the Neveu-Schwarz superalgebra [1], the Ramond superal-gebra [1], the twisted superalgebra [2], which are denoted as A, P, T , resp., or G when a statement holds for all three superalgebras. They have the following nontrivial super-Lie brackets :
متن کاملar X iv : m at h / 06 11 64 6 v 1 [ m at h . R A ] 2 1 N ov 2 00 6 NATURALLY GRADED 2 - FILIFORM LEIBNIZ ALGEBRAS
The Leibniz algebras appear as a generalization of the Lie algebras [8]. The classification of naturally graded p-filiform Lie algebras is known [3], [4], [5], [9]. In this work we deal with the classification of 2-filiform Leibniz algebras. The study of p-filiform Leibniz non Lie algebras is solved for p = 0 (trivial) and p = 1 [1]. In this work we get the classification of naturally graded no...
متن کاملm at h . O A ] 2 7 A ug 2 00 3 RESTRICTED ALGEBRAS ON INVERSE SEMIGROUPS I , REPRESENTATION THEORY
Abstract. The relation between representations and positive definite functions is a key concept in harmonic analysis on topological groups. Recently this relation has been studied on topological groupoids. This is the first in a series of papers in which we have investigated a similar relation on inverse semigroups. We use a new concept of ”restricted” representations and study the restricted s...
متن کاملar X iv : m at h / 04 12 16 9 v 3 [ m at h . D G ] 2 A ug 2 00 6 TABLEAUX OVER LIE ALGEBRAS , INTEGRABLE SYSTEMS , AND CLASSICAL SURFACE THEORY
Starting from suitable tableaux over finite dimensional Lie algebras, we provide a scheme for producing involutive linear Pfaffian systems related to various classes of submanifolds in homogeneous spaces which constitute integrable systems. These include isothermic surfaces, Willmore surfaces, and other classical soliton surfaces. Completely integrable equations such as the G/G0-system of Terng...
متن کاملO ct 2 00 3 Extensions of Banach Lie - Poisson spaces
The extension of Banach Lie-Poisson spaces is studied and linked to the extension of a special class of Banach Lie algebras. The case of W -algebras is given particular attention. Semidirect products and the extension of the restricted Banach Lie-Poisson space by the Banach Lie-Poisson space of compact operators are given as examples.
متن کامل