EMBEDDING THEOREM OF Z-GRADED LIE-SUPERALGEBRAS

Authors
ZHANG YZ SHEN GY
Citation
Yz. Zhang et Gy. Shen, EMBEDDING THEOREM OF Z-GRADED LIE-SUPERALGEBRAS, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 41(10), 1998, pp. 1009-1016
Citations number
8
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences → ACNP
ISSN journal
10016511
Volume
41
Issue
10
Year of publication
1998
Pages
1009 - 1016
Database
ISI
SICI code
1001-6511(1998)41:10<1009:ETOZL>2.0.ZU;2-4
Abstract
The embedding theorem of Z-graded Lie superalgebras is given and prove d. As a subsidiary result it is proved that a transitive Z-graded rest ricted Lie superalgebra G = +(i greater than or equal to-1) G(i) must be isomorphic to W(m, n, 1) if the dimension of G(1) satisfies a certa in condition.