Lie Algebra Theory without Algebra

DOI10.1007/978-0-8176-4745-2_12zbMath1198.22004arXivmath/0702016OpenAlexW1680478882MaRDI QIDQ4929764

Simon K. Donaldson

Publication date: 24 September 2010

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702016

zbMATH Keywords

maximal subgroupssymmetric spacessimple Lie algebrasminimal vectors

Mathematics Subject Classification ID

Differential geometry of symmetric spaces (53C35) General properties and structure of real Lie groups (22E15)

Cites Work

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• Compact real forms of a complex semi-simple Lie algebra
• Instability in invariant theory
• On the moment map for the variety of Lie algebras.
• On the real moment map.
• A Stratification of the Null Cone Via the Moment Map
• Minimum Vectors for Real Reductive Algebraic Groups
• Uniform instability in reductive groups.
• Geometric Invariant Theory
• Manifolds of Negative Curvature

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