A homomorphism of Harish-Chandra and direct images of $\mathcal {D}$-modules
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- by Markus Hunziker and Gerald W. Schwarz PDF
- Proc. Amer. Math. Soc. 129 (2001), 3485-3493 Request permission
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.References
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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
- MR Author ID: 601797
- Email: hunziker@brandeis.edu, hunziker@math.uga.edu
- Gerald W. Schwarz
- Affiliation: Department of Mathematics, Brandeis University, Waltham, Massachusetts 02254-9110
- MR Author ID: 157450
- Email: schwarz@brandeis.edu
- 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
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 3485-3493
- MSC (2000): Primary 13N10, 32C38, 22E46
- DOI: https://doi.org/10.1090/S0002-9939-01-06085-3
- MathSciNet review: 1860480