Journal of Lie Theory 34 (2024), No. 2, 469--480
Copyright Heldermann Verlag 2024
Disconnected Reductive Groups
Marisa Gaetz
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts, U.S.A.
mgaetz@mit.edu
David A. Vogan Jr.
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts, U.S.A.
dav@math.mit.edu
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).
Keywords: Reductive groups, root data, group cohomology.
MSC: 22E10, 20G07.
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