Star-Shapedness and K-Orbits in Complex Semisimple Lie Algebras
نویسندگان
چکیده
منابع مشابه
Star-shapedness and K-orbits in Complex Semisimple Lie Algebras
Given a complex semisimple Lie algebra g = k + ik (k is a compact real form of g), let π : g → h be the orthogonal projection (with respect to the Killing form) onto the Cartan subalgebra h := t + it, where t is a maximal abelian subalgebra of k. Given x ∈ g, we consider π(Ad(K)x), where K is the analytic subgroup G corresponding to k, and show that it is star-shaped. The result extends a resul...
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ژورنال
عنوان ژورنال: Canadian Mathematical Bulletin
سال: 2011
ISSN: 0008-4395,1496-4287
DOI: 10.4153/cmb-2010-097-7