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1.
本文首先确定了无限维奇Hamilton模李超代数的生成元集,然后确定了奇Hamilton模李超代数到广义Witt模李超代数的导子空间,进而确定了无限维奇Hamilton模李超代数的导子代数. 相似文献
2.
Mark Curtis Wilson 《Proceedings of the American Mathematical Society》1996,124(2):383-387
We show that a primeness criterion for enveloping algebras of Lie superalgebras discovered by Bell is applicable to the Cartan type Lie superalgebras , even. Other algebras are considered but there are no definitive answers in these cases.
3.
This paper aims to determine the minimal dimensions and super-dimensions of faithful representations for Heisenberg Lie superalgebras over an algebraically closed field of characteristic zero. 相似文献
4.
Suppose that the underlying field is of characteristic different from 2 and 3. We first prove that the so-called stem deformations of a free presentation of a finite-dimensional Lie superalgebra L exhaust all the maximal stem extensions of L; up to equivalence of extensions. Then we prove that multipliers and covers always exist for a Lie superalgebra and they are unique up to superalgebra isomorphisms. Finally, we describe the multipliers, covers, and maximal stem extensions of Heisenberg superalgebras and model filiform Lie superalgebras. 相似文献
5.
本文应用象空间极小维数的方法研究了Cartan型模李超代数HO的非平凡可迁滤过(HO,R)的不变性.应用滤过的不变性得到模李超代数HO的某些内蕴性质,从而得到此类李超代数在同构意义下的分类. 相似文献
6.
1NatationandPreliminariesWeknowthatthederivationalgebrasisaveryusefulsubjectintheresearchoftheLiealgebrasandLiesupealgebras.Inpapersl1]and[2]thederivationalgebrasofmodularLiealgebrasofCartan-typeareinyestigaved.Inpaper[3]thederivationalgebrasofsimpleLiesuperalgebrasoverfieldsofcharacteristiczeroaredeterndned.Inthispaperthederivational-gebrasofmodularLiesuperalgebrasWandSofCartan-typearedeterminedbythecalculatingmethod-LetFbeafieldandcharF=p>3-WesimPlydescribetheLiesuperalgbrasWandSwhic… 相似文献
7.
Georgia Benkart Alberto Elduque 《Proceedings of the American Mathematical Society》2002,130(11):3209-3217
We present an elementary construction of the 10-dimensional simple Jordan superalgebra K of Kac using the 3-dimensional tiny Kaplansky superalgebra. This new realization of K enables us to derive many of its properties.
8.
The multiplicities a of simple modules L in the composition series of Kac modules V lambda for the Lie superalgebra
(m/n ) were described by Serganova, leading to her solution of the character problem for
(m/n ). In Serganova's algorithm all with nonzero a are determined for a given this algorithm, turns out to be rather complicated. In this Letter, a simple rule is conjectured to find all nonzero a for any given weight . In particular, we claim that for an r-fold atypical weight there are 2r distinct weights such that a = 1, and a = 0 for all other weights . Some related properties on the multiplicities a are proved, and arguments in favour of our main conjecture are given. Finally, an extension of the conjecture describing the inverse of the matrix of Kazhdan–Lusztig polynomials is discussed. 相似文献
9.
We calculate the dimensions of the second homology groups with trivial coefficients of nilpotent subalgebras of the Lie superalgebra
, which is the natural superanalog of the Witt algebra. The proof is based on direct calculations of the rank of the differential. As an application, we find deformations of the maximal nilpotent subalgebra in
. 相似文献
10.
Georgia Benkart Seok-Jin Kang Masaki Kashiwara 《Journal of the American Mathematical Society》2000,13(2):295-331
A crystal base theory is introduced for the quantized enveloping algebra of the general linear Lie superalgebra , and an explicit realization of the crystal base is given in terms of semistandard tableaux. 相似文献