Compact forms of complex Lie supergroups (Q392401)
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scientific article; zbMATH DE number 6244906
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compact forms of complex Lie supergroups |
scientific article; zbMATH DE number 6244906 |
Statements
Compact forms of complex Lie supergroups (English)
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14 January 2014
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The author discusses the possibility of extending the association of a real compact form to any semisimple complex Lie group to the case of super structures. Due to rigidity, in general such a result may not be expected, but he presents a case where this is possible and gives two equivalent approaches to this problem, a direct construction and one using super Harish-Chandra pairs. Preliminaries necessary for the understanding of the paper are also presented.
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complex Lie super groups
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Lie super algebras
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compact form
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