共查询到18条相似文献,搜索用时 156 毫秒
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有限维单Cartan型模李超代数HO 总被引:4,自引:0,他引:4
本文构造了一族有限维Cartan型模李超代数-奇Hamilton模李超代数HO, 并证明了其单性.通过建立Cartan型模李超代数W,H,K,S和HO的维数公式,讨 论了奇Hamilton模李超代数HO与Cartan型模李超代数W,S,H,K的同构关系. 相似文献
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利用了一个适当环面的权空间分解完全确定了从有限维特殊奇Hamiltonian模李超代数偶部到广义Witt超代数偶部的导子空间,进而给出了相应的低维上同调空间的维数公式. 相似文献
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研究Γ-型模李超代数偶部的结构.给出了Γ-型模李超代数的偶部生成元集.将导子作用在其偶部生成元集上,确定了Γ-型模李超代数偶部到奇部的具有负Z-次数的导子. 相似文献
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本文主要研究了特征 $p>3$ 的域上的有限维奇 $Hamiltonian$ 李超代数 $HO$ 的偶部到广义 $Witt$李超代数 $W$ 的奇部的负$\mathbb{Z}$-齐次导子. 我们利用 $\mathcal{HO}$ 的生成元集, 通过计算导子在其生成元集上的作用的方法, 首先计算了$\mathbb{Z}$-次数为 $-1$ 的导子, 然后决定了 $\mathbb{Z}$-次数小于 $-1$ 的导子. 相似文献
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本文研究一类非阶化非线性李超代数的导子,利用阶化方法研究非阶化问题,确定了一类weyi型结合及李超代数的导子代数.在一般情况下并非所有的导子都是内导子. 相似文献
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本文总设$F$是$p>2$的域,我们在域$F$上构造了有限维模李超代数$W(m,n,l,\underline{t})$, 定义了$W(m,n,l,\underline{t})$的$\Theta$-型导子,进而确定了它导子超代数. 相似文献
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首先证明了无限维K(m,n)型模李超代数的单性,给出了它的生成元集,进而通过导子在生成元上的作用,确定了它的Z-齐次超导子,最后确定了K(m,n)的齐次超导子代数. 相似文献
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用研究幂零元的方法证明了无限维模特殊奇Hamiltonian超代数的自然滤过在自同构下是不变的,进而得到了此类李超代数的几个重要性质. 相似文献
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在特征p>2的情况下,利用奇Contact李超代数偶部的生成元集,通过计算导子在其生成元集上的作用的方法,确定了奇Contact李超代数偶部的-1次数的导子. 相似文献
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The natural filtration of the infinite-dimensional Hamiltonian Lie superalgebra over a field of positive characteristic is proved to be invariant under automorphisms by characterizing ad-nilpotent elements. We are thereby able to obtain an intrinsic characterization of the Hamiltonian Lie superalgebra and establish a property of the automorphisms of the Lie superalgebra. 相似文献
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We study class of finite-dimensional Cantan-type Lie superalgebras HO(m) over a field of prime characteristic, which can be regarded as extensions of odd Hamiltonian superalgebra HO. And we also determine the derivation superalgebras of Lie superalgebras HO(m). 相似文献
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The finite-dimensional modular Lie superalgebra Ω is constructed. The simplicity of Ω is proved. Its derivation superalgebra is determined. Then it is obtained that Ω is not isomorphic to any known Z-graded modular Lie superalgebra of Cartan type. 相似文献
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In this paper F always denotes a field of characteristic P>2.We construct the finitedimensional modular Lie superalgebra W(m,n,l,(t))over a field F,define θ-type derivation and determine the derivation superalgebra of w(m,n,l,(t)). 相似文献
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Let F be the underlying base field of characteristic p > 3 and denote by M the even part of the finite-dimensional simple modular Lie superalgebra M. In this paper, the generator sets of the Lie algebra M which will be heavily used to consider the derivation algebra Der(M) are given. Furthermore, the derivation algebra of M is determined by reducing derivations and a torus of M, i.e.,As a result, the derivation algebra of the even part of M does not equal the even part of the derivation superalgebra of M. 相似文献
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V. N. Zhelyabin 《Siberian Mathematical Journal》2016,57(6):987-1001
Under study are the simple infinite-dimensional abelian Jordan superalgebras not isomorphic to the superalgebra of a bilinear form. We prove that the even part of such superalgebra is a differentially simple associative commutative algebra, and the odd part is a finitely generated projective module of rank 1. We describe unital simple Jordan superalgebras with associative nil-semisimple even part possessing two even elements which induce a nonzero derivation. 相似文献
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The principal filtration of the infinite-dimensional odd contact Lie superalgebra over a field of characteristic p >2 is proved to be invariant under the automorphism group by investigating ad-nilpotent elements and determining certain invariants such as subalgebras generated by some ad-nilpotent elements. Then, it is proved that two automorphisms coincide if and only if they coincide on the -1 component with respect to the principal grading. Finally, all the odd contact superalgebras are classified up to isomorphisms. 相似文献
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Y. Z. Zhang and Q. C. Zhang [J. Algebra, 2009, 321: 3601?C3619] constructed a new family of finite-dimensional modular Lie superalgebra $\tilde \Omega $ . Let ?? denote the even part of the Lie superalgebra $\tilde \Omega $ .We first give the generator sets of the Lie algebra ??. Then, we reduce the derivation of ?? to a certain form. With the reduced derivation and a torus of ??, we determine the derivation algebra of ??. 相似文献