The space of Lie algebra 2-cocycles of an affine transformation group

DOI10.1063/1.531229zbMath0852.53034OpenAlexW2071779059WikidataQ115329675 ScholiaQ115329675MaRDI QIDQ4873474

Gerald Harnett

Publication date: 19 May 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531229

zbMATH Keywords

affine transformationsaffine Lie algebra2-cocycles on a Lie algebraenumeration of symplectic homogeneous spaces

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Differential geometry of homogeneous manifolds (53C30) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Cohomology of Lie (super)algebras (17B56)

Cites Work

• Cohomology of Lie algebras
• On unitary ray representations of continuous groups
• The fundamental invariants of inhomogeneous classical groups
• The complete classification of generalized homogeneous symplectic manifolds
• Representations of a semi-direct product by quantization

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