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The center of the category of $ (\mathfrak{g}, K)$-modules

Author(s): Goran Muic; Gordan Savin
Journal: Trans. Amer. Math. Soc. 360 (2008), 3071-3092.
MSC (2000): Primary 22E47
Posted: January 30, 2008
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Abstract: Let $ G$ be a semi-simple connected Lie group. Let $ K$ be a maximal compact subgroup of $ G$ and $ \mathfrak{g}$ the complexified Lie algebra of $ G$. In this paper we describe the center of the category of $ (\mathfrak{g},K)$-modules.

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Additional Information:

Goran Muic
Affiliation: Department of Mathematics, University of Zagreb, Bijenicka 30, 10000 Zagreb, Croatia
Email: gmuic@math.hr

Gordan Savin
Affiliation: Department of Mathematics, University of Utah, Salt Lake City, Utah 84112
Email: savin@math.utah.edu

DOI: 10.1090/S0002-9947-08-04398-5
PII: S 0002-9947(08)04398-5
Received by editor(s): March 22, 2006
Posted: January 30, 2008
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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