Representations of Lie Groups By Contact Transformations, I: Compact Groups

DOI10.4153/CMB-1990-061-6zbMath0743.57024WikidataQ115214242 ScholiaQ115214242MaRDI QIDQ3971467

Carl S. Herz

Publication date: 25 June 1992

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

compact connected Lie groupscompact semi-simpleexact contact manifoldsorbit of a highest-weight vector in an irreducible unitary representationtransitive groups of contact transformations

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Compact Lie groups of differentiable transformations (57S15) Semisimple Lie groups and their representations (22E46) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

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