English

Conjugacy Classes of Centralizers in $G_2$

Group Theory 2009-04-28 v1

Abstract

Let GG be an algebraic group of type G2G_2 over a field kk of characteristic 2,3\neq 2,3. In this paper we calculate centralizers of semisimple elements in anisotropic G2G_2. Using these, we show explicitly that there are six conjugacy classes of centralizers in the compact real form of G2G_2.

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Cite

@article{arxiv.0804.3657,
  title  = {Conjugacy Classes of Centralizers in $G_2$},
  author = {Anupam Singh},
  journal= {arXiv preprint arXiv:0804.3657},
  year   = {2009}
}

Comments

10 pages

R2 v1 2026-06-21T10:33:47.081Z