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An L 2 -Cohomology Construction of Unitary Highest Weight Modules for U(p, q)

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Publication:3971042
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DOI10.2307/2001546zbMath0747.22009OpenAlexW4252475147MaRDI QIDQ3971042

Lisa A. Mantini

Publication date: 25 June 1992

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2001546


zbMATH Keywords

integral transformoscillator representationhomogeneous vector bundlesladder representations\(L^ 2\)-cohomologyholomorphic sectionsmassless field equationsunitary highest weight modules


Mathematics Subject Classification ID

Homology and cohomology of Lie groups (57T10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)


Related Items

Unitarization of a singular representation of \(\text{SO}(p,q)\)



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