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On conjugacy classes in a reductive group

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Representations of Reductive Groups

Part of the book series: Progress in Mathematics ((PM,volume 312))

Abstract

Let G be a connected reductive group over an algebraically closed field. We define a decomposition of G into finitely many strata such that each stratum is a union of conjugacy classes of fixed dimension; the strata are indexed purely in terms of the Weyl group and the indexing set is independent of the characteristic.

Dedicated to David Vogan on the occasion of his60th birthday

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Acknowledgements

This research is supported in part by National Science Foundation grant DMS-1303060.

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Authors and Affiliations

  1. Department of Mathematics, M.I.T., Cambridge, MA, 02139, USA

    George Lusztig

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  1. George Lusztig
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Correspondence to George Lusztig .

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Editors and Affiliations

  1. Department of Mathematics and Statistics, University of Ottawa, Ottawa, Ontario, Canada

    Monica Nevins

  2. Dept of Mathematics and Statistics, University of Utah, Salt Lake City, Utah, USA

    Peter E. Trapa

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Lusztig, G. (2015). On conjugacy classes in a reductive group. In: Nevins, M., Trapa, P. (eds) Representations of Reductive Groups. Progress in Mathematics, vol 312. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-23443-4_12

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