Timeline for Conjugacy classes in Aut(G)

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when toggle format	what		by	license	comment
Mar 18, 2019 at 16:35	comment	added	LSpice		Is duality of root systems really "Langlands duality"? I thought it long pre-dated him.
Jul 16, 2012 at 17:55	history	edited	Jim Humphreys	CC BY-SA 3.0	added 663 characters in body
Jul 16, 2012 at 15:39	comment	added	Yuji Tachikawa		@Jim Thanks for comments. As to $\sigma_B$ and $\sigma_C$, they are described in Kac "Infinite dimensional Lie algebra," Theorem 8.6. $\sigma_B$ is his $\sigma_{0,0,0,...,1;2}$ and $\sigma_C$ is his $\sigma_{1,0,0,...,0;2}$. As to order-reversing vs order-preserving, I really mean the order-preserving map between special nilpotent orbits of $B_n$ and $C_n$, described e.g. in Sommers, arxiv.org/abs/math/0104162 , at the beginning of Sec. 6. This order-preserving map in fact preserves the dimension of the orbit, which is also a strange fact (at least to me.)
Jul 16, 2012 at 14:14	history	answered	Jim Humphreys	CC BY-SA 3.0