Classification of infinite dimensional irreducible modules for type I lie superalgebras
Abstract
All irreducible (finite and infinite dimensional) L-modules, for a type I basic classical Lie superalgebra L are classified in terms of their maximal Z-graded components. Moreover, it is shown that all irreducible L-modules admit an infinitesimal character. Typical infinite dimensional irreducible L-modules are also introduced and classified in terms of their infinitesimal characters.
- Publication:
-
Reports on Mathematical Physics
- Pub Date:
- December 1991
- DOI:
- 10.1016/0034-4877(91)90065-U
- Bibcode:
- 1991RpMP...30..363G