Abstract
We show that for every conjugacy class O in a connected semi-simple algebraic group G over an algebraically closed field of characteristic good for G one can find a special transversal slice Σ to the set of conjugacy classes in G such that O intersects Σ and dim O=codim Σ.
Original language | English |
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Pages (from-to) | 309-366 |
Number of pages | 58 |
Journal | Journal of Algebra |
Volume | 520 |
Early online date | 27 Nov 2018 |
DOIs | |
Publication status | Published - 15 Feb 2019 |
Bibliographical note
The author is grateful to Dave Benson for his help with the MAGMA software, to Institut des Hautes Études Scientifiques where this work was completed, and to referees for careful checking the numeric results in Appendix B and for useful comments on the draft on this text.Keywords
- Algebraic group
- Transversal slice
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Alexey Sevostyanov
Person: Academic