Formes harmoniques et cohomologie relative des algèbres de Lie

DOI10.24033/BSMF.2038zbMath0621.58013OpenAlexW2585164456MaRDI QIDQ3757018

Annie Hersant

Publication date: 1985

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1985__113__359_0

zbMATH Keywords

Poincaré dualityharmonic formsrelative cohomologyunimodular Lie groupcomplex Lie algebra

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Variational methods for elliptic systems (35J50) Homological methods in Lie (super)algebras (17B55) Cohomology of Lie (super)algebras (17B56)

Cites Work

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• The \(L^2\)-index theorem for homogeneous spaces of Lie groups
• Harmonically induced representations of solvable Lie groups
• On a conjecture of Langlands
• One-parameter groups generated by operators in an enveloping algebra
• On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
• Formes harmoniques et cohomologie relative des algèbres de Lie.
• Harmonically Induced Representations on Nilpotent Lie Groups and Automorphic Forms on Nilmanifolds
• Realization of Square-Integrable Representations of Unimodular Lie Groups on L 2 -Cohomology Spaces
• Homologie et cohomologie des algèbres de Lie

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