Journal article

Affineness of Deligne-Lusztig varieties for minimal length elements

Abstract:: We prove that the Deligne-Lusztig varieties associated to elements of the Weyl group which are of minimal length in their twisted class are affine. Our proof differs from the proof of He and Orlik-Rapoport and it is inspired by the case of regular elements, which correspond to the varieties involved in Broué's conjectures. © 2008 Elsevier Inc. All rights reserved.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Bonnafe, C., & Rouquier, R. (2008). Affineness of Deligne-Lusztig varieties for minimal length elements. JOURNAL OF ALGEBRA, 320(3), 1200–1206.

MLA Style

Bonnafe, C, and R Rouquier. “Affineness of Deligne-Lusztig Varieties for Minimal Length Elements.” JOURNAL OF ALGEBRA, vol. 320, no. 3, 2008, pp. 1200–06.

Chicago Style

Bonnafe, C, and R Rouquier. 2008. “Affineness of Deligne-Lusztig Varieties for Minimal Length Elements.” JOURNAL OF ALGEBRA 320 (3): 1200–1206.
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Files:: 1-s2.0-S002186930800197X-main.pdf

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Publisher copy:: 10.1016/j.jalgebra.2007.12.029

Authors

+ Bonnafe, C More by this author

Role:: Author

+ Rouquier, R More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Publisher:: Elsevier
Journal:: JOURNAL OF ALGEBRA More from this journal
Volume:: 320
Issue:: 3
Pages:: 1200-1206
Publication date:: 2008-08-01
DOI:: 10.1016/j.jalgebra.2007.12.029
EISSN:: 1090-266X
ISSN:: 0021-8693

Language:: English
Keywords:: finite groups of Lie type

Deligne-Lusztig varieties

Weyl groups

conjugacy classes
Pubs id:: 12066
UUID:: uuid:364c1d1e-a040-40e2-a266-b9e0365f9618
Local pid:: pubs:12066
Source identifiers:: 12066
Deposit date:: 2012-12-19
ARK identifier:: ark:/29072/ora_364c1d1ea04040e2a266b9e0365f9618

Terms of use

Copyright holder:: Elsevier BV
Copyright date:: 2008
Notes:: Copyright 2008 Elsevier Inc. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/

Licence:: Other

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