Sequences of Z/sub 2/direct-sumZ/sub 2/ graded Lie algebras and superalgebras
Journal Article
·
· J. Math. Phys. (N.Y.); (United States)
Applying methods similar to those used for classical Lie superalgebras (Z/sub 2/ graded algebras), we construct sequences of Z/sub 2/direct-sumZ/sub 2/ graded Lie superalgebras. In this way one obtains the spl(m,n,r,s), osp(m,n,r,s), P/sub 1/(m,r), P/sub 3/(m,n), ospP/sub 3/(m,n), P/sub 1,2/(m), and Q (m) series. We also give series of Z/sub 2/direct-sumZ/sub 2/ graded Lie algebras. Closed forms for superdeterminants and determinants of Z/sub 2/direct-sumZ/sub 2/ graded matrices are presented.
- Research Organization:
- The Rockefeller University, New York, New York 10021
- OSTI ID:
- 6676149
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 19:10; ISSN JMAPA
- Country of Publication:
- United States
- Language:
- English
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