On the exactness of Kostant-Kirillov form and the second cohomology of nilpotent orbits (Q2909483)
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scientific article; zbMATH DE number 6074263
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the exactness of Kostant-Kirillov form and the second cohomology of nilpotent orbits |
scientific article; zbMATH DE number 6074263 |
Statements
30 August 2012
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Kostant-Kirillov form
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Nilpotent orbit
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Homogeneous spaces
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On the exactness of Kostant-Kirillov form and the second cohomology of nilpotent orbits (English)
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In this work the authors give a criterion for the Kostant-Kirillov form on an adjoint orbit in a real semisimple Lie group to be exact. Also they compute the second cohomology of all the nilpotent adjoint orbits in every complex simple Lie algebra.
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