3, 814-828.CHEN Z.Generalized derivations on parabolic subalgebras of general linear algebras.Acta Mathematica Scientia.2014.814-828Z.X. Chen, Generalized derivations on parabolic subalgebras of the general linear Lie algebra, Acta Math. Sci. Ser. B Engl. Ed. 34 (2014), no.3, 814-828....
2) linear Lie algebras 一般线性李代数 1. Over-algebras of the general linear Lie algebras in some classial Lie algebras over commutative ring; 可换环上一般线性李代数在几类典型李代数中的扩代数 更多例句>> 3) GAMS 一般线性代数模拟系统 1. Then, a structure adjustment model of major crops...
摘要: We investigate the module structures of certain vector spaces of Laurent polynomials and their quotients over the universal enveloping algebra of the general linear Lie algebra. As a consequence, we obtain explicit constructions of certain simple highest weight modules....
Not every Lie group is a matrix group. Yet, it is a surprising and useful result that almost every Lie group encountered in physics is a matrix Lie group. These are all subgroups of the general linear groups GL(n; F) of n× n nonsingular matrices over the field F (R, C, Q). Th...
Let G = GL ( m | n ) {G=\operatorname{GL}(m|n)} be a general linear supergroup over an algebraically closed field 𝐤 {\mathbf{k}} of odd characteristic p . In this paper, we construct Jantzen filtration of Weyl modules V ( λ ) {V(\lambda)} f
In this chapter a discussion of the general aspects of Lie algebras is presented using only the familiar concepts of vector spaces, linear transformations and operators, matrices and commutators. Our treatment is brief in order to pro-vide only the necessary background for an understanding of the...
Continuousgrouptheory, Lie algebras and differential geometry are used to understand the structure oflinearand nonlinear partial differential equations forgeneratingintegrable equations, to find its Lax pairs, recursion operators, Bäcklund transform and finally finding exact analytic solutions to the PDE. ...
Forum:Linear and Abstract Algebra IScope of General Relativity: Assumptions & Implications Assumptions 1. General Relativity is the modern and most complete widely accepted theory of gravitation, formulated in a background independent, geometric way. 2. General Relativity is formulated in a manner consi...
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Weight diagrams for irreducible representations of the Lie Algebra of the general linear group in five dimensions over the complex field are classified according to the shape of their boundaries. Weight multiplicities are examined and the reduction under the orthogonal group O (5, C) of certain ...