Baur, K orcid.org/0000-0002-7665-476X, Erdmann, K and Parker, A orcid.org/0000-0001-7014-6150 (2011) ∆-filtered modules and nilpotent orbits of a parabolic subgroup in ON. Journal of Pure and Applied Algebra, 215 (5). 5. pp. 885-901. ISSN 0022-4049
Abstract
We study certain ∆-filtered modules for the Auslander algebra of k[T]/Tⁿ ⨯C₂ where C₂ is the cyclic group of order two. The motivation of this lies in the problem of describing the P-orbit structure for the action of a parabolic subgroup P of an orthogonal group. For any parabolic subgroup of an orthogonal group we construct a map from parabolic orbits to ∆-filtered modules and show that in the case of the Richardson orbit, the resulting module has no self-extensions.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 04 Mar 2020 15:42 |
Last Modified: | 04 Mar 2020 15:42 |
Published Version: | http://dx.doi.org/10.1016/j.jpaa.2010.06.032 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.jpaa.2010.06.032 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:149691 |