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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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The enveloping algebra of the Lie superalgebra $osp(1,2r)$
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by Ian M. Musson PDF
Represent. Theory 1 (1997), 405-423 Request permission


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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Additional 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