approach for the basic facts for the Lie a-graded (super) algebra of derivations of the Grassmann algebra of differential forms, the -graded Gerstenhaber algebras, the Frölicher-Nijenhuis algebra of vector-valued differential multi-forms, and the Schouten-Nijenhuis algebra of multi-vector ...
4) graded Lie algebra 阶化李代数 1. Simple filtered Lie algebras whose graded Lie algebras are isomorphic to Lie algebras G_n are discussed. 研究单的滤过李代数,使其相联阶化李代数同构于李代数Gn,得到这样的滤过李代数也同构于Gn。5) SU(2) Lie algebra SU(Z)李代数...
Lie superalgebra H(n) Z-graded module highest weight.Let F be an algebraically closed field and charF=0. In this note, using the method ofmixed product in ref. [1], the irreducible positive (negative) Z-graded module of Liesuperalgebra H(n) with base space V (top space V) is dete...
A0 = iZAi, 0 Vir, the centerless Virasoro algebra;II. A0,1, A0,0, A0,1 span a Heisenberg algebra;III. A is generated by the centerless Virasoro algebra and the Heisenberg algebra.关键词: AMS Subject Classification: 17B36, 17B65, 17B70 DOI: 10.1081/AGB-100002127 ...
Summary: It was proved by the second author [{\it R. E. Roomeldi}, Algebras Groups Geom. 14, 17-30 (1997; Zbl 0896.17009)] that if the even part $A$ of a $Z_2$-graded $(-1,1)$ algebra $B= A\oplus M$ is solvable of degree $n$ then the algebra $B$ is solvable of ...
Let k be an algebraically closed field and A a Z-graded finitely generated simple k-algebra which is a domain of Gelfand–Kirillov dimension 2. We show that the category of Z-graded right A-modules is equivalent to the category of quasicoherent sheaves on a certain quotient stack. The ...
In this paper, we construct a new class of infinite rank $\Z$-graded Lie conformal algebra, denoted by $CW(a,c)$. And $CW(a,c)$ contains the loop Virasoro Lie conformal algebra and a Block type Lie conformal algebra. $CW(a,c)$ has a $\C[\partial]$-basis $\{L_{\a}\,|\...
In chapter 3 ,we construct six classes of theZ-graded modules of the intermidiate seriesfor the derived Lie subalgebra L_q\' of the quantum torus L_q. 第三章,构造了q为单位根时两个变量的量子环面的导出李子代数L_q\'的六类Z-阶化中间序列模并研究其同构性和可约性。
The first Weyl Algebra can be viewed to have Z -graded quotient ring Q = k( u)[t, t-1; sigma], and Bell and Rogalski have classified all simple Z -graded subrings of this quotient ring with Gelfand-Kirillov (GK) dimension 2. In this paper, we seek to understand maximal orders of...
Then K∗ (G) is torsion-free and can be given the structure of a Z2-graded Hopf algebra over the integers =-=[10]-=-. Moreover, regarded as a Hopf algebra, K∗ (G) is the exterior algebra on the module of the ... L Hodgkin - 《Topology》 被引量: 155发表: 1967年 K-th...