Geodesic
Disconnected Reductive Groups
Journal of Lie theory, Tome 34 (2024) no. 2, pp. 469-48
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We describe the possible disconnected complex reductive algebraic groups E with component group Γ = E/E0. We show that there is a natural bijection between such groups E and algebraic extensions of Γ by Z(E0).
Classification : 22E10, 20G07
Mots-clés : Reductive groups, root data, group cohomology 
@article{JLT_2024_34_2_JLT_2024_34_2_a9,
     author = {M. Gaetz and D. A. Vogan Jr.},
     title = {Disconnected {Reductive} {Groups}},
     journal = {Journal of Lie theory},
     pages = {469--48},
     year = {2024},
     volume = {34},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2024_34_2_JLT_2024_34_2_a9/}
}
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M. Gaetz; D. A. Vogan Jr. Disconnected Reductive Groups. Journal of Lie theory, Tome 34 (2024) no. 2, pp. 469-48. http://geodesic.mathdoc.fr/item/JLT_2024_34_2_JLT_2024_34_2_a9/