A generalization of a result of Kazhdan and Lusztig
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- by Jeffrey D. Adler and Stephen DeBacker PDF
- Proc. Amer. Math. Soc. 132 (2004), 1861-1868 Request permission
Abstract:
Kazhdan and Lusztig showed that every topologically nilpotent, regular semisimple orbit in the Lie algebra of a simple, split group over the field $\mathbb {C}(\negthinspace (t)\negthinspace )$ is, in some sense, close to a regular nilpotent orbit. We generalize this result to a setting that includes most quasisplit $p$-adic groups.References
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Additional Information
- Jeffrey D. Adler
- Affiliation: Department of Theoretical and Applied Mathematics, The University of Akron, Akron, Ohio 44325-4002
- MR Author ID: 604177
- Email: adler@uakron.edu
- Stephen DeBacker
- Affiliation: Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138
- Address at time of publication: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109
- MR Author ID: 610368
- Email: debacker@math.harvard.edu, smdbackr@umich.edu
- Received by editor(s): September 23, 2002
- Received by editor(s) in revised form: February 26, 2003
- Published electronically: December 1, 2003
- Additional Notes: The authors were partially supported by the National Security Agency (#MDA904-02-1-0020) and the National Science Foundation (Grant No. 0200542), respectively. This work was begun while the authors were attending workshops in Banff in 2001–2002 sponsored by the Mathematical Sciences Research Institute and the Pacific Institute for the Mathematical Sciences, and completed while the authors were visiting the Institute for Mathematical Sciences (IMS) at the National University of Singapore (NUS) in 2002, visits supported by IMS and NUS
- Communicated by: Rebecca Herb
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 1861-1868
- MSC (2000): Primary 22E35, 22E65; Secondary 17B45, 20G05, 20G15, 22E50, 20G25
- DOI: https://doi.org/10.1090/S0002-9939-03-07261-7
- MathSciNet review: 2051152