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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A homomorphism of Harish-Chandra and direct images of $\mathcal{D}$-modules


Authors: Markus Hunziker and Gerald W. Schwarz
Journal: Proc. Amer. Math. Soc. 129 (2001), 3485-3493
MSC (2000): Primary 13N10, 32C38, 22E46
Published electronically: May 3, 2001
MathSciNet review: 1860480
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Abstract | References | Similar Articles | Additional Information

Abstract:

Harish-Chandra defined a homomorphism $\delta : \mathcal{D}(\mathfrak{g})^{G}\to \mathcal{D}(\mathfrak{h})^{W}$ of algebras of invariant polynomial differential operators. The construction and existence of $\delta $ are somewhat mysterious. We show how $\delta $ naturally arises when one considers matters in the context of $\mathcal{D}$-modules.


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Additional Information

Markus Hunziker
Affiliation: Department of Mathematics, Brandeis University, Waltham, Massachusetts 02254-9110
Address at time of publication: Department of Mathematics, University of Georgia, Athens, Georgia 30602-7403
Email: hunziker@brandeis.edu, hunziker@math.uga.edu

Gerald W. Schwarz
Affiliation: Department of Mathematics, Brandeis University, Waltham, Massachusetts 02254-9110
Email: schwarz@brandeis.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06085-3
PII: S 0002-9939(01)06085-3
Received by editor(s): May 1, 2000
Published electronically: May 3, 2001
Additional Notes: The second author was partially supported by the NSF
Communicated by: Rebecca Herb
Article copyright: © Copyright 2001 American Mathematical Society