Lie Superalgebras with Semisimple Even Part
β Scribed by Alberto Elduque
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 206 KB
- Volume
- 183
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
Finite-dimensional Lie superalgebras G s G [ G over an algebraically closed 0 1 field of characteristic zero, in which G is a completely reducible module for the 1
Lie algebra G , are described. In particular, the Lie superalgebras with semisimple 0 even part are described.
π SIMILAR VOLUMES
Finally, we give the classification of quadratic semisimple Lie superalgebras with the completely reducible action of the even part on the odd part.
Simple relations, given by the trace and supertrace, between expectation values of tensor operators connected with a Lie superalgebra g are shown to be generated by the Weyl group of a Lie algebra g0 acting on a Lie superalgebra.