Strictly Transversal Slices to Conjugacy Classes in Algebraic Groups

Alexey Sevastyanov (Corresponding Author)

Research output: Contribution to journalArticle

1 Citation (Scopus)

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

Fingerprint

Conjugacy class
Algebraic Groups
Slice
Strictly
Semisimple Groups
Intersect
Algebraically closed

Keywords

  • Algebraic group
  • Transversal slice

Cite this

Strictly Transversal Slices to Conjugacy Classes in Algebraic Groups. / Sevastyanov, Alexey (Corresponding Author).

In: Journal of Algebra, Vol. 520, 15.02.2019, p. 309-366.

Research output: Contribution to journalArticle

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