Nonabelian cohomology with coefficients in Lie groups

DOI10.1090/S0002-9947-08-04278-5zbMath1194.22006arXivmath/0506625OpenAlexW2095555086WikidataQ115289069 ScholiaQ115289069MaRDI QIDQ3506706

Jinpeng An, Zheng-Dong Wang

Publication date: 17 June 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506625

zbMATH Keywords

compact Lie groupnon-Abelian cohomologytwisted conjugate action

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) General properties and structure of real Lie groups (22E15) Cohomology theory for linear algebraic groups (20G10)

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Cites Work

• Unnamed Item
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• On curvature and characteristic of homogeneous spaces
• On the realization of Riemannian symmetric spaces in Lie groups
• Curve selection lemma for semianalytic sets and conjugacy classes of finite order in Lie groups
• A generalization of random matrix ensemble. I: General theory
• On the realization of Riemannian symmetric spaces in Lie groups. II
• On Automorphisms of A Kählerian Structure