Strictly Transversal Slices to Conjugacy Classes in Algebraic Groups

Alexey Sevastyanov* (Corresponding Author)

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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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 languageEnglish
Pages (from-to)309-366
Number of pages58
JournalJournal of Algebra
Volume520
Early online date27 Nov 2018
DOIs
Publication statusPublished - 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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