Representations of the restricted Cartan type Lie superalgebra $W(m,n,1)$
Bin Shu, Chaowen Zhang
TL;DR
This paper investigates the structure of simple modules over the restricted Witt superalgebra $W(m,n,1)$, providing conditions for their simplicity in both restricted and nonrestricted Kac modules.
Contribution
It offers new criteria for simplicity of modules over the restricted Cartan type Lie superalgebra $W(m,n,1)$, advancing understanding of its representation theory.
Findings
Conditions for simplicity of restricted Kac modules
Conditions for simplicity of nonrestricted Kac modules
Enhanced understanding of module structure over $W(m,n,1)$
Abstract
Simple modules for the restricted Witt superalgebra are considered. Conditions are provided for the restricted and nonrestricted Kac modules to be simple.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons