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Literature Cited
É. B. Vinberg, "The Morozov—Borel theorem for real Lie groups," Dokl. Akad. Nauk SSSR,141, No. 2, 270–273 (1961).
É. B. Vinberg, "The theory of homogeneous convex cones," Tr. Mosk. Mat. O-va,12, 303–358 (1963).
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).
A. Borel and J. Tits, "Groupes reductifs," IHES, Publ. Math.,27, 55–152 (1965).
T. Vust, "Operation de groupes reductifs dans un type de cones presque homogenes," Bull. Soc. Math. France,102, 317–333 (1974).
Additional information
Moscow State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 14, No. 1, pp. 1–13, January–March, 1980.
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Vinberg, É.B. Invariant convex cones and orderings in Lie groups. Funct Anal Its Appl 14, 1–10 (1980). https://doi.org/10.1007/BF01078407
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DOI: https://doi.org/10.1007/BF01078407