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- W2053973234 abstract "Isomorphy classes of k-involutions have been studied for their correspondence with symmetric k-varieties, also called generalized symmetric spaces. A symmetric k-variety of a k-group G is defined as G k /H k where θ : G → G is an automorphism of order 2 that is defined over k and G k and H k are the k-rational points of G and H = G θ , the fixed point group of θ, respectively. This is a continuation of papers written by A. G. Helminck and collaborators [Involutions of SL (2, k), (n > 2), Acta Appl. Math.90(1–2) (2006) 91–119, Classification of involutions of SO (n; k; b), to appear, On the classification of k-involutions, Adv. Math.153(1) (1988) 1–117, Classification of involutions of SL (2, k), Comm. Algebra30(1) (2002) 193–203] expanding on his combinatorial classification over certain fields. Results have been achieved for groups of type A, B and D. Here we begin a series of papers doing the same for algebraic groups of exceptional type." @default.
- W2053973234 created "2016-06-24" @default.
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- W2053973234 date "2014-05-02" @default.
- W2053973234 modified "2023-09-27" @default.
- W2053973234 title "Isomorphy classes of k-involutions of G2" @default.
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- W2053973234 doi "https://doi.org/10.1142/s021949881450039x" @default.
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