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On invariant convex cones in simple Lie algebras

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Publication:595035
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DOI10.1007/BF02881028zbMath0526.22017MaRDI QIDQ595035

S. Kumaresan, Akhil Ranjan

Publication date: 1982

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)


zbMATH Keywords

simple Lie algebrasinvariant convex cones


Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Lie algebras of Lie groups (22E60)


Related Items

Invariant cones in Lie algebras, A characterization for the self-duality of proper cones, Classification of invariant cones in Lie algebras, Compactly embedded Cartan algebras and invariant cones in Lie algebras



Cites Work

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  • Reguläre Kegel
  • Invariant convex cones and orderings in Lie groups
  • The construction of homogeneous convex cones
  • Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
  • On convexity, the Weyl group and the Iwasawa decomposition
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