Component groups of centralizers of nilpotents in complex symmetric spaces

DOI10.1006/jabr.2000.8389zbMath1027.17002OpenAlexW2054842775MaRDI QIDQ1588392

Donald R. King, Alfred G. Noël

Publication date: 7 January 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d2baea8e16297d8c3a1b64a6e49346624d486658

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05)

Cites Work

• Remarks on real nilpotent orbits of a symmetric pair
• Classification of nilpotent elements in simple exceptional real Lie algebras of inner type and description of their centralizers
• Classification of nilpotent elements in simple real Lie algebras \(E_{6(6)}\) and \(E_{6(-26)}\) and description of their centralizers
• Gelfand-Kirillov dimension for Harish-Chandra modules
• The component groups of nilpotents in exceptional simple real lie algebras
• A quick proof of the classification of simple real Lie algebras
• Orbits and Representations Associated with Symmetric Spaces
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