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Classification of invariant cones in Lie algebras
Author(s):
Joachim
Hilgert;
Karl H.
Hofmann
Journal:
Bull. Amer. Math. Soc.
19
(1988),
441-446.
MSC (1985):
Primary 22E60, 22E15
MathSciNet review:
956598
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References |
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Additional information
References:
- [HH85a] J. Hilgert and K. H. Hofmann, Lorentzian cones in real Lie algebras, Monatsh. Math. 100 (1985), 183-210. MR 812611
- [HH85b] J. Hilgert and K. H. Hofmann, Old and new on Sl(2), Manuscripta Math. 54 (1985), 17-52. MR 808680
- [HH85c] J. Hilgert and K. H. Hofmann, Lie semialgebras are real phenomena, Math. Ann. 270 (1985), 97-103. MR 769612
- [HH86a] J. Hilgert and K. H. Hofmann, On the automorphism group of cones and wedges, Geom. Dedicata 21 (1986), 205-217. MR 861198
- [HH86b] J. Hilgert and K. H. Hofmann, Compactly embedded Cartan algebras and invariant cones in Lie algebras, THD preprint (1986), Adv. in Math, (to appear). MR 1002207
- [HHL87] J. Hilgert, K. H. Hofmann and J. D. Lawson, Lie groups, convex cones, and semigroups, Oxford Univ. Press (to appear). MR 1032761
- [KR82] S. Kumaresan and A. Ranjan, On invariant convex cones in simple Lie algebras, Proc. Indian Acad. Sci. Math. 91 (1982), 167-182. MR 700809
- [O181] G. I. Ol'shanskiĭ, Invariant cones in Lie algebras, Lie semigroups and the holomorphic discrete series, Funct. Anal. Appl. 15 (1981), 275-285. MR 639200
- [Pa84] S. Paneitz, Determination of invariant convex cones in simple Lie algebras, Ark. Mat. 21 (1984), 217-228. MR 727345
- [Vi80] E. B. Vinberg, Invariant cones and orderings in Lie groups, Funct. Anal. Appl. 14 (1980), 1-13. MR 565090
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Additional Information:
DOI:
10.1090/S0273-0979-1988-15692-3
PII:
S 0273-0979(1988)15692-3
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