Remote Access Representation Theory
Green Open Access

Representation Theory

ISSN 1088-4165



The enveloping algebra of the Lie superalgebra $osp(1,2r)$

Author: Ian M. Musson
Journal: Represent. Theory 1 (1997), 405-423
MSC (1991): Primary 17B35
Published electronically: November 17, 1997
MathSciNet review: 1479886
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $\mathfrak {g}$ be the Lie superalgebra $osp(1,2r)$ and $U(\mathfrak {g})$ the enveloping algebra of $\mathfrak {g}$. In this paper we obtain a description of the set of primitive ideals Prim $U(\mathfrak {g})$ as an ordered set. We also obtain the multiplicities of composition factors of Verma modules over $U(\mathfrak {g})$, and of simple highest weight modules for $U(\mathfrak {g})$ when regarded as a $U(\mathfrak {g}_{0})$-module by restriction.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Representation Theory of the American Mathematical Society with MSC (1991): 17B35

Retrieve articles in all journals with MSC (1991): 17B35

Additional Information

Ian M. Musson
Affiliation: Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI 53201-0413
MR Author ID: 189473

Received by editor(s): January 27, 1997
Received by editor(s) in revised form: July 25, 1997
Published electronically: November 17, 1997
Additional Notes: Research partially supported by National Science Foundation grant DMS 9500486.
Article copyright: © Copyright 1997 American Mathematical Society