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- W2062856108 abstract "In this paper, Steinberg's concept of a regular element in a semisimple algebraic group defined over an algebraically closed field is generalized to the concept of a k-regular element in a semisimple algebraic group defined over an arbitrary field of characteristic zero. The existence of semisimple and unipotent k-regular elements in a semisimple algebraic group defined over a field of characteristic zero is proved. The structure of all k-regular unipotent elements is given. The number of minimal parabolic subgroups containing a kregular element is given. The number of conjugacy classes of R-regular unipotent elements is given, where R is the real field. The number of conjugacy classes of Qp-regular unipotent elements is shown to be finite, where Q is the fileld of p-adic numbers." @default.
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- W2062856108 date "1975-01-01" @default.
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- W2062856108 title "$k$-regular elements in semisimple algebraic groups" @default.
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- W2062856108 doi "https://doi.org/10.1090/s0002-9947-1975-0357637-8" @default.
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