Journal of Lie Theory

no. 4
Isomorphism Classes of k-Involutions of Algebraic Groups of Type F4
Journal of Lie Theory, Volume 25 (2015) no. 4, pp. 1003-1022
We continue the classification of the isomorphism classes of k-involutions of exceptional algebraic groups. In this paper we classify k-involutions for split groups of type F4 over certain fields, and their fixed point groups. We go on to describe the correspondence between certain subalgebras of Albert algebras and the isomorphism classes of the k-involutions of their automorphism group.
DOI: 10.5802/jolt.869
Classification: 20G15, 20G41, 17C30
Keywords: Exceptional groups, Jordan algebras, generalized symmetric spaces, algebraic groups 
@article{JOLT_2015_25_4_a3,
     author = {J. Hutchens},
     title = {Isomorphism {Classes} of {k-Involutions} of {Algebraic} {Groups} of {Type} {F\protect\textsubscript{4}}},
     journal = {Journal of Lie Theory},
     pages = {1003--1022},
     year = {2015},
     volume = {25},
     number = {4},
     doi = {10.5802/jolt.869},
     zbl = {1342.20049},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.869/}
}
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J. Hutchens. Isomorphism Classes of k-Involutions of Algebraic Groups of Type F4. Journal of Lie Theory, Volume 25 (2015) no. 4, pp. 1003-1022. doi: 10.5802/jolt.869

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