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On C-small conjugacy classes in a reductive group

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Abstract

Let G be an almost simple reductive group with Weyl group W. Let B be a Borel subgroup of G. Let w be an elliptic element of W which has minimal length in its conjugacy class. We show that in almost all cases there exists a semisimple class in G whose intersection with BwB has dimension dim(B).

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  1. Department of Mathematics, MIT, Cambridge, MA, 02139, USA

    G. Lusztig

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  1. G. Lusztig
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Correspondence to G. Lusztig.

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Dedicated to Tonny Springer on the occasion of his 85th birthday

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Lusztig, G. On C-small conjugacy classes in a reductive group. Transformation Groups 16, 807–825 (2011). https://doi.org/10.1007/s00031-011-9145-6

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  • DOI: https://doi.org/10.1007/s00031-011-9145-6

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