Unitary representations of a loop \(ax+b\) group, Wiener measure and \(\Gamma \)-function

DOI10.1016/j.jfa.2012.05.004zbMath1251.22015arXiv1012.4826OpenAlexW2056296218MaRDI QIDQ442190

Anton M. Zeitlin

Publication date: 10 August 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4826

zbMATH Keywords

Wiener measureunitary representationsloop groupsaffine group\(\Gamma \)-function

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Analysis on and representations of infinite-dimensional Lie groups (22E66)

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On the continuous series for \(\widehat{sl(2,\mathbb R)}\) ⋮ Representations of the infinite-dimensional p-adic affine group

Cites Work

• Quantum Teichmüller space from the quantum plane
• Orbital theory for affine Lie algebras
• Gaussian measures in Banach spaces
• Applications of the Fourier-Wiener Transform to Differential Equations on Infinite Dimensional Spaces. I
• REPRESENTATIONS OF THE GROUP SL(2,R), WHERERIS A RING OF FUNCTIONS
• Further Representations of the Canonical Commutation Relations
• THE CLASSICAL LIMIT OF REPRESENTATION THEORY OF THE QUANTUM PLANE
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