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81.
82.
In recent years the Lie superalgebras have become a 8ubject of intere8t in both mathematicsand physic8[']--[41. We know that the embedding theorems of Z-graded Lie superalgebras andfiltered Lie superalgebras play an important role in the investigation of Lie superalgebras. Theembedding theorem of Z-greded Lie superalgebras is already proved in paper [5l. In this paperthe homomorphic realization Of Lie superalgebras is given and proved by tlle method of tlieReff6]. Using the result of honro… 相似文献
83.
Jin CHENG 《Frontiers of Mathematics in China》2016,11(6):1451
We construct fermionic-bosonic representations for a class of generalized B(m, n), C(n), D(m, n)-graded Lie superalgebras coordinatized by quantum tori with nontrivial central extensions. 相似文献
84.
85.
This paper is primarily concerned with δ-Hom-Jordan Lie superalgebras. We discuss the concepts of αk-derivations, representations and T*-extensions of δ-Hom-Jordan Lie superalgebras in detail, and some cohomological characterizations are established. 相似文献
86.
In this paper we use invariant theory to develop the notion of cohomological detection for Type I classical Lie superalgebras. In particular we show that the cohomology with coefficients in an arbitrary module can be detected on smaller subalgebras. These results are used later to affirmatively answer questions, which were originally posed in Boe et al. (2010) [5] and Bagci et al. (2008) [2], about realizing support varieties for Lie superalgebras via rank varieties constructed for the smaller detecting subalgebras. 相似文献
87.
Sangwon Park 《代数通讯》2013,41(2):785-789
We characterize left perfect rings using locally, finitely projective and flat covers, thus answering a question of Xue in the positive. 相似文献
88.
89.
We consider the harmonic superspaces associated with SU(2,2/N) superconformal algebras. For arbitrary N, we show that massless representations, other than the chiral ones, correspond to [N/2] elementary ultrashort analytic superfields whose first component is a scalar in the k antisymmetric irrep of SU(N) (k=1...[N/2]) with top spin J
top=(N/2–k/2,0). For N=2n, we analyze UIR's obtained by tensoring the self-conjugate ultrashort multiplet J
top=(n/2,0) and show that N–1 different basic products give rise to all possible UIR's with residual shortening. 相似文献
90.