700 Journals and 15,000,000 Readers Each Journal is getting 25,000+ ReadersThis Readership is 10 times more when compared to other Subscription Journals (Source: Google Analytics)
Research Article Open Access
We consider aspects of the relationship between nilpotent orbits in a semisim-ple real Lie algebra g and those in
its complexification gÃ¯ÂÂ. In particular, we prove that two distinct real nilpotent orbits lying in the same complex orbit are
incomparable in the closure order. Secondly, we characterize those g having non-empty intersections with all nilpotent
orbits in gÃ¯ÂÂ. Finally, for g quasi-split, we characterize those complex nilpotent orbits containing real ones.
Nilpotent orbit, Quasi-split Lie algebra, Kostant- Sekiguchi correspondence, Algebra, Combinatorics, Deformations Theory, Geometry, Harmonic Analysis, Homological Algebra, Homotopical Algebra, Latin Squares, Lie Theory, Lie Triple Systems, Loop Algebra, Operad Theory, Quantum Group, Quasi-Group, Representation theory, Super Algebras, Lie Superalgebra, Symmetric Spaces, Topologies, Lie Algebra