共查询到20条相似文献,搜索用时 15 毫秒
1.
V. N. Zhelyabin 《Siberian Mathematical Journal》2013,54(1):33-39
We construct some examples of prime Jordan superalgebras of vector type whose odd part is a finitely generated projective module of rank 1 with arbitrarily many generators. These provide some examples of prime Jordan superalgebras of Cheng-Kac type. 相似文献
2.
Yu Wang 《Linear and Multilinear Algebra》2016,64(8):1518-1526
The aim of this paper is to investigate Lie superderivations of superalgebras, using the theory of functional identities in superalgebras. As a consequence, we obtain a definitive result on Lie superderivations of prime superalgebras. 相似文献
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We consider Lie superautomorphisms of prime associative superalgebras. A definitive result is obtained for central simple
superalgebras: their Lie superautomorphisms are of standard forms, except when the dimension of the superalgebra in question
is 2 or 4. 相似文献
4.
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
5.
构造了一类有限维广义Cartan型模李超代数W,并证明了它是李超代数W(n)的一个扩张,进而决定了它的导子超代数. 相似文献
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In the paper, we give some results about a linear combination of superderivations on prime superalgebras and generalize a result of Niu Feng-wen. 相似文献
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This paper is devoted to a study of the automorphism groups of three series of finite-dimensional special odd Hamiltonian superalgebras g over a field of prime characteristic. Our aim is to characterize the connections between the automorphism groups of g and the automorphism groups of the corresponding underlying superalgebras. Precisely speaking, we embed the former into the later. Moreover, we determine the images of the normal series of the automorphism groups and homogeneous automorphism groups of g under the embedded mapping. 相似文献
10.
In this paper, the definitions and some properties of $n$-Lie superalgebras are presented. Our main aim is to study the decomposition and uniqueness
of finite dimensional $n$-Lie superalgebras with trivial center. According to the
decomposition of $n$-Lie superalgebras, we obtain the decomposition of inner
derivation superalgebras and derivation superalgebras respectively. Furthermore, we discuss some properties about the centroid of $n$-Lie superalgebras, so
we can see its application in the decomposition of $n$-Lie superalgebras. 相似文献
11.
我们讨论了p-幂零限制李超代数的一些性质,分别给出了p-幂零和幂零限制李超代数的几个充分必要条件,并讨论了幂零与p-幂零之间的关系.最后,证明了幂零限制李超代数的一些性质. 相似文献
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In this paper, the definitions and some properties of n-Lie superalgebras are presented. Our main aim is to study the decomposition and uniqueness of finite dimensional n-Lie superalgebras with trivial center. Aecoding to the decomposition of n-Lie superalgebras, we obtain the decomposition of inner derivation superalgebras and derivation superalgebras respectively. Furthermore, we discuss some properties about the centroid of n-Lie superalgebras, so we can see its application in the decomposition of n-Lie superalgebras. 相似文献
15.
This gives some identities of associative Lie superalgebras and some properties of modular Lie superalgebras. Furthermore, the primary decomposition theorem of modular Lie superalgebras is shown. It is well known that the primary decomposition theorem of modular Lie algebras has played an important role in the classification of the finite-dimensional simple modular Lie algebras (see [5, 6]). Analogously, the primary decomposition theorem of modular Lie superalgebras may play an important role in the open classification of the finite dimensional simple modular Lie superalgebras. 相似文献
16.
Hom-Malcev superalgebras can be considered as a deformation of Malcev superalgebras. We give the definition of Hom-Malcev superalgebras. Moreover, we characterize the Hom-Malcev operator and the representation of Hom-Malcev superalgebras. Finally, we study the central extension and the double extension of Hom-Malcev superalgebras. 相似文献
17.
Extended affine Lie superalgebras are super versions of the defining axioms of extended affine Lie algebras or more generally invariant affine reflection algebras. This class includes finite dimensional basic classical simple Lie superalgebras and affine Lie superalgebras. In this paper, an affinization process is introduced for the class of extended affine Lie superalgebras, and the necessary conditions for an extended affine Lie superalgebra to be invariant under this process are presented. Moreover, new extended affine Lie superalgebras are constructed by means of the affinization process. 相似文献
18.
我们分别给出了完备限制李超代数和强完备限制李超代数的一个充分必要条件,同时得到了一些完备限制李超代数的重要性质. 相似文献
19.
We describe the simple Lie superalgebras arising from the unital structurable superalgebras of characteristic 0 and construct four series of the unital simple structurable superalgebras of Cartan type. We give a classification of simple structurable superalgebras of Cartan type over an algebraically closed field F of characteristic 0. Together with the Faulkner theorem on the classification of classical such superalgebras, it gives a classification of the simple structurable superalgebras over F. 相似文献
20.
Bernstein superalgebras of dimensions 2 and 3 are classified as Bern-stein superalgebras and as superalgebras. 相似文献