共查询到20条相似文献,搜索用时 31 毫秒
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将李超代数的导子和Hom-结构表示为矩阵,通过计算,具体刻画了特征零的代数闭域上Filiform李超代数Ln,m 的导子代数和保积Hom-结构。 相似文献
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《代数通讯》2013,41(9):3239-3264
ABSTRACT Let M be the k × m matrices over ?. The GL ( k ) × GL ( m ) decompositions of the symmetric and of the exterior powers of M are described by two classical theorems. We describe a theorem for Lie superalgebras, which implies both of these classical theorems as special cases. The constructions of both the exterior and the symmetric algebras are generalized to a class of algebras defined by partitions. That superalgebra theorem is further generalized to these algebras. 相似文献
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Let 𝒩(∞,R) be the Lie algebra of infinite strictly upper triangular matrices over a commutative ring R. We show that every derivation of 𝒩(∞,R) is a sum of diagonal and inner derivations. 相似文献
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Edgar G. Goodaire 《代数通讯》2013,41(7):3335-3349
We construct all the alternative (but not associative) algebras of dimension at most 5 over a perfect field. For any prime p, we show that there are fifteen alternative rings of prime power order pn ,n≤5, which are not associative. None of these rings is nil. Just one has a unity. 相似文献
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Yucai Su 《Mathematische Zeitschrift》2006,252(4):731-754
The composition factors of Kac modules for the general linear Lie superalgebras are explicitly determined. In particular, a conjecture of Hughes, King and van der Jeugt in [J. Math. Phys. 33 (1992), 470–491] is proved. 相似文献
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Ian M. Musson 《Advances in Mathematics》2006,207(1):39-72
Let g be a classical simple Lie superalgebra. To every nilpotent orbit O in g0 we associate a Clifford algebra over the field of rational functions on O. We find the rank, k(O) of the bilinear form defining this Clifford algebra, and deduce a lower bound on the multiplicity of a U(g)-module with O or an orbital subvariety of O as associated variety. In some cases we obtain modules where the lower bound on multiplicity is attained using parabolic induction. The invariant k(O) is in many cases, equal to the odd dimension of the orbit G⋅O, where G is a Lie supergroup with Lie superalgebra g. 相似文献
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We study the Banach-Lie group Ltaut(A) of Lie triple automorphisms of a complex associative H*-algebra A. Some consequences about its Lie algebra, the algebra of Lie triple derivations of A, Ltder(A), are obtained. For a topologically simple A, in the infinite-dimensional case we have Ltaut(A)0 = Aut(A) implying Ltder(A) = Der(A). In the finite-dimensional case Ltaut(A)0 is a direct product of Aut(A) and a certain subgroup of Lie derivations δ from A to its center, annihilating commutators. 相似文献
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In this work the classification of filiform Leibniz superalgebras of nilindex n + m, where n and m (m≠0) are dimensions of even and odd parts, respectively, is obtained. 相似文献
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Xiaoping Xu 《Algebra Colloquium》2000,7(2):205-240
In this paper, we construct six families of infinite simple conformal superalgebras of finite growth based on our earlier work on constructing vertex operator superalgebras from graded assocaitive algebras. Three subfamilies of these conformal superalgebras are generated by simple Jordan algebras of types A, B, and C in a certain sense.Research supported by Hong Kong RGC Competitive Earmarked Research Grant HKUST709/96P.2000 Mathematics Subject Classification: primary 17A30, 17A60; secondary 17B20, 81Q60 相似文献
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求解一般Filiform李超代数L_(n,m)的Yang-Baxter方程尚无一般方法.通过计算,刻画了特征零的代数闭域上四维Filiform李超代数L_(1,2)上的所有Yang-Baxter方程的解. 相似文献