On restricted representations of the extended special type Lie superalgebra \({\bar{S}(m, n, 1)}\) (Q1950338)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On restricted representations of the extended special type Lie superalgebra \({\bar{S}(m, n, 1)}\) |
scientific article; zbMATH DE number 6162235
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On restricted representations of the extended special type Lie superalgebra \({\bar{S}(m, n, 1)}\) |
scientific article; zbMATH DE number 6162235 |
Statements
On restricted representations of the extended special type Lie superalgebra \({\bar{S}(m, n, 1)}\) (English)
0 references
13 May 2013
0 references
Let \(\bar{S}(m,n,{\mathbf 1})\) be the extended special type Lie superalgebra over an algebraically closed field of characteristic \(p>2\). The author classifies the iso-classes of simple restricted \(\bar{S}(m,n,{\mathbf 1})\)-modules and provides a necessary and sufficient condition for restricted baby Kac modules to be simple.
0 references
restricted Lie superalgebra
0 references
Lie superalgebra of extended special type
0 references
restricted representation
0 references
typical weight
0 references
atypical weight
0 references
0 references
