We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Irreducible Wakimoto-like Modules for the Lie Superalgebra D(2, 1;α).
- Authors
Cheng, Jin; Zeng, Zi Ting
- Abstract
By using the idea of Wakimoto’s free field, we construct a class of representations for the Lie superalgebra D(2, 1; α) on the tensor product of a polynomial algebra and an exterior algebra involving one parameter λ. Then we obtain the necessary and sufficient condition for the representations to be irreducible. In fact, the representation is irreducible if and only if the parameter λ satisfies (λ+m)(λ−1+ααm)≠0<inline-graphic></inline-graphic> for any m ∈ ℤ+.
- Subjects
LIE superalgebras; MODULES (Algebra); TENSOR algebra; AUSDEHNUNGSLEHRE; REPRESENTATIONS of algebras
- Publication
Acta Mathematica Sinica, 2018, Vol 34, Issue 10, p1578
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-018-7265-9