Conjugacy Classes of Centralizers in $G_2$

Details Conjugacy Classes of Centralizers in $G_2$ Conjugacy Classes of Centralizers in $G_2$

2008-04-23

arxiv.org/abs/0804.3657v1

Journal of the Ramanujan Mathematical Society, vol 23 no. 4 (2008) 327-336

Mathematics

Group Theory

10 pages

Scientific paper

Let $G$ be an algebraic group of type $G_2$ over a field $k$ of
characteristic $\neq 2,3$. In this paper we calculate centralizers of
semisimple elements in anisotropic $G_2$. Using these, we show explicitly that
there are six conjugacy classes of centralizers in the compact real form of
$G_2$.

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