A class of representations over the Virasoro algebra (Q1355558)
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: A class of representations over the Virasoro algebra |
scientific article; zbMATH DE number 1013963
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class of representations over the Virasoro algebra |
scientific article; zbMATH DE number 1013963 |
Statements
A class of representations over the Virasoro algebra (English)
0 references
27 May 1997
0 references
\textit{V. G. Kac} and \textit{A. K. Raina} introduced a two-parameter family of modules of the Virasoro algebra [Bombay lectures on highest weight representations of infinite-dimensional Lie algebras, Adv. Ser. Math. Phys., Vol. 2 (1987; Zbl 0668.17012)] which are called the ``principal series'' of modules. The author proves that the tensor of a highest-weight module with a principal-series module is indecomposable and gives a detailed analysis on when it is irreducible.
0 references
indecomposable modules
0 references
Harish-Chandra modules
0 references
Virasoro algebra
0 references
