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
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...
4) graded Lie algebra 阶化李代数 1. Simple filtered Lie algebras whosegraded 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 ...
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。 更多例句>> 3) Z-graded Lie algebra Z-阶化李代数 4) Z-graded Lie superalgebras Z-阶化李超代数 5) transitively Z 可迁Z-阶化李超代数 ...
3) 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。4) Z2×2graded structure Z2×2阶化...
-graded Grassmann algebraDifferential calculusGrassmann–Heisenberg algebraCovariant differential calculi on the $${\\mathbb {Z}}_3$$Z3-graded Grassmann plane are presented. Using the generators and their partial derivatives a Grassmann–Heisenberg algebra is constructed. An R...
arXiv:1602.01214v1 [math.RA] 3 Feb 2016ON THE Z 2 -GRADED CODIMENSIONS OF THE GRASSMANN ALGEBRA OVER AFINITE FIELDLUCIO CENTRONE AND LU ´ IS FELIPE GONC¸ALVES FONSECAAbstract. Let E be the infinite dimensional Grassmann algebra over a finite field F of characteristic not2. In this ...