Characters for projective modules in the BGG category \(\mathcal{O}\) for the orthosymplectic Lie superalgebra \(\mathfrak{osp}(3 | 4)\) (Q2216567)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characters for projective modules in the BGG category \(\mathcal{O}\) for the orthosymplectic Lie superalgebra \(\mathfrak{osp}(3 | 4)\) |
scientific article |
Statements
Characters for projective modules in the BGG category \(\mathcal{O}\) for the orthosymplectic Lie superalgebra \(\mathfrak{osp}(3 | 4)\) (English)
0 references
16 December 2020
0 references
The authors use the tool of translation functors to determine the characters of projective modules in the BGG category \(\mathcal O\) for the orthosymplectic Lie superalgebras \(\mathfrak{osp}(3|4)\). It is explicitly determined the composition factor multiplicities of Verma modules using BGG reciprocity.
0 references
representation theory
0 references
Lie superalgebras
0 references
translation functors
0 references
BGG category \(\mathcal{O}\)
0 references
character formulae
0 references
0 references
0 references
0 references
