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Springer correspondence for disconnected groups

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Abstract.

The Springer correspondence is a map from the set of unipotent conjugacy classes of a reductive algebraic group to the set of irreducible complex characters of the Weyl group. Here, we determine this map explicitly in the case of disconnected classical algebraic groups.

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Authors and Affiliations

  1. Fachbereich Mathematik/Informatik, Universität Kassel, Heinrich-Plett-Str. 40, 34132, Kassel, Germany

    Gunter Malle

  2. LAMFA, Université de Picardie Jules Verne, 33 rue Saint-Leu, 80000, Amiens, France

    Karine Sorlin

Authors
  1. Gunter Malle
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  2. Karine Sorlin
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Correspondence to Gunter Malle.

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Mathematics Subject Classification (2000): Primary 20G05; Secondary 20C33.

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Malle, G., Sorlin, K. Springer correspondence for disconnected groups. Math. Z. 246, 291–319 (2004). https://doi.org/10.1007/s00209-003-0600-5

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  • DOI: https://doi.org/10.1007/s00209-003-0600-5

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