Journal of Lie Theory

no. 2
Disconnected Reductive Groups
Marisa Gaetz1; David A. Vogan Jr.1
1Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts, U.S.A.
Journal of Lie Theory, Volume 34 (2024) no. 2, pp. 469-480
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).
DOI: 10.5802/jolt.1344
Classification: 22E10, 20G07
Keywords: Reductive groups, root data, group cohomology

Marisa Gaetz  1 ; David A. Vogan Jr.  1

1 Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts, U.S.A. 
Marisa Gaetz; David A. Vogan Jr. Disconnected Reductive Groups. Journal of Lie Theory, Volume 34 (2024) no. 2, pp. 469-480. doi: 10.5802/jolt.1344
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     author = {Marisa Gaetz and David A. Vogan Jr.},
     title = {Disconnected {Reductive} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {469--480},
     year = {2024},
     volume = {34},
     number = {2},
     doi = {10.5802/jolt.1344},
     zbl = {1542.20228},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1344/}
}
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