On invariant convex cones in simple Lie algebras
- Cite this article as:
- Kumaresan, S. & Ranjan, A. Proc. Indian Acad. Sci. (Math. Sci.) (1982) 91: 167. doi:10.1007/BF02881028
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This paper is devoted to a study and classification ofG-invariant convex cones ing, whereG is a lie group andg its Lie algebra which is simple. It is proved that any such cone is characterized by its intersection withh-a fixed compact Cartan subalgebra which exists by the very virtue of existence of properG-invariant cones. In fact the pair (g,k) is necessarily Hermitian symmetric.