| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1898446 | Journal of Geometry and Physics | 2015 | 12 Pages |
Abstract
In this paper, we study the representations for the filiform Lie superalgebras Lm,n, a particular class of nilpotent Lie superalgebras. We determine the minimal dimension of a faithful module over Lm,n using the theory of linear algebra. In addition, using the method of Feingold and Frenkel (1985), we construct some finite and infinite dimensional modules over Lm,n on the Grassmann algebra and the mixed Clifford-Weyl algebra.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Qi Wang, Hongjia Chen, Wende Liu,