On the 1-cohomology of Lie groups

DOI10.1007/BF00405591zbMath0339.22013OpenAlexW2330309856WikidataQ115395024 ScholiaQ115395024MaRDI QIDQ1230856

Georges Pinczon, Jacques C. H. Simon

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1007/bf00405591

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Related Items (8)

Extensions of representations and cohomology ⋮ On the First Order Cohomology of Infinite-Dimensional Unitary Groups ⋮ Unnamed Item ⋮ Models of nonlinear representations and examples of linearization techniques ⋮ 1-cohomologie des représentations unitaires des groupes de Lie semi-simples et résolubles. Produits tensoriels continus de représentations ⋮ Quantization of the Maxwell field in linear conformal invariant gauges ⋮ Low-order cohomology of semi-simple Lie groups with applications to continuous tensor products and current groups ⋮ Indecomposable representations with invariant inner product. A theory of the Gupta-Bleuler triplet

Cites Work

• On 1-cohomology groups of infinite dimensional representations of semisimple Lie algebras
• Factorizable representation of current algebra. Non commutative extension of the Levy-Kinchin formula and cohomology of a solvable group with values in a Hilbert space
• On the integrability of representations of finite dimensional real Lie algebras
• Representations of Semisimple Lie Groups IV

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