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Suppose $G$ is a simple algebraic group defined over an algebraically closed field of good characteristic $p$. In 2018 Korhonen showed that if $H$ is a connected reductive subgroup of $G$ which contains a distinguished unipotent element $u$ of $G$ of
Externí odkaz:
http://arxiv.org/abs/2407.16379
Let $H \subseteq G$ be connected reductive linear algebraic groups defined over an algebraically closed field of characteristic $p> 0$. In our first main theorem we show that if a closed subgroup $K$ of $H$ is $H$-completely reducible, then it is als
Externí odkaz:
http://arxiv.org/abs/2401.16927
Publikováno v:
Eur. J. Math. 9 (2023), no. 4, Paper No. 116, 27 pp
Let $G$ be a connected reductive linear algebraic group over a field $k$. Using ideas from geometric invariant theory, we study the notion of $G$-complete reducibility over $k$ for a Lie subalgebra $\mathfrak h$ of the Lie algebra $\mathfrak g = Lie(
Externí odkaz:
http://arxiv.org/abs/2305.00841
Publikováno v:
Technical Textiles / Technische Textilen; Nov2005, Vol. 48 Issue 4, pE197, 6p, 2 Color Photographs, 2 Diagrams, 2 Charts, 12 Graphs