Complexity of nilpotent orbits and the Kostant-Sekiguchi correspondence |
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Authors: | Donald R King |
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Institution: | (1) Department of Mathematics, Northeastern University, 567 Lake Hall, Boston, MA 02115, USA |
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Abstract: | Let G be a connected linear semisimple Lie group with Lie algebra , and let be the complexified isotropy representation at the identity coset of the corresponding symmetric space. Suppose that Ω is a nilpotent G-orbit in and is the nilpotent -orbit in associated to Ω by the Kostant-Sekiguchi correspondence. We show that the corank of the Hamiltonian K-space Ω is twice the complexity of the variety . |
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Keywords: | Primary 22E46 Secondary 14R20 53D20 |
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