Wiener functionals on spaces of Lie algebra valued 1-currents, and unitary representations of current groups

DOI10.5565/PUBLMAT_33189_08zbMath0838.22006OpenAlexW1964910330WikidataQ115159272 ScholiaQ115159272MaRDI QIDQ1812684

Yanyan Li

Publication date: 25 June 1992

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41070

zbMATH Keywords

manifoldLie algebraunitary representationssemisimple Lie groupWiener spacesregular representationWiener functionalscurrent groupenergy representationsRiemannian flagShigekawa-Sobolev spacesWeyl's construction

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

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