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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

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The enveloping algebra of the Lie superalgebra $osp(1,2r)$
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by Ian M. Musson
Represent. Theory 1 (1997), 405-423
Published electronically: November 17, 1997


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.
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Bibliographic Information
  • Ian M. Musson
  • Affiliation: Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI 53201-0413
  • MR Author ID: 189473
  • Email:
  • 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.
  • © Copyright 1997 American Mathematical Society
  • Journal: Represent. Theory 1 (1997), 405-423
  • MSC (1991): Primary 17B35
  • DOI:
  • MathSciNet review: 1479886