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Invariant convex cones and orderings in Lie groups. (English. Russian original) Zbl 0452.22014

Funct. Anal. Appl. 14, 1-10 (1980); translation from Funkts. Anal. Prilozh. 14, No. 1, 1-13 (1980).

MSC:

22E46 Semisimple Lie groups and their representations
17B20 Simple, semisimple, reductive (super)algebras
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References:

[1] É. B. Vinberg, ”The Morozov–Borel theorem for real Lie groups,” Dokl. Akad. Nauk SSSR,141, No. 2, 270–273 (1961). · Zbl 0112.02505
[2] É. B. Vinberg, ”The theory of homogeneous convex cones,” Tr. Mosk. Mat. O-va,12, 303–358 (1963). · Zbl 0138.43301
[3] É. B. Vinberg, ”Some properties of the root decomposition of a semisimple Lie algebra over an algebraically nonclosed field,” Funkts. Anal. Prilozhen.,9, No. 1, 20–24 (1975). · Zbl 0324.17003
[4] A. Borel and J. Tits, ”Groupes reductifs,” IHES, Publ. Math.,27, 55–152 (1965). · Zbl 0145.17402 · doi:10.1007/BF02684375
[5] T. Vust, ”Operation de groupes reductifs dans un type de cones presque homogenes,” Bull. Soc. Math. France,102, 317–333 (1974). · Zbl 0332.22018
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