PENROSE TRANSFORM FOR INDEFINITE GRASSMANN MANIFOLDS

DOI10.1142/S0129167X11006738zbMath1215.22005MaRDI QIDQ3081480

Hideko Sekiguchi

Publication date: 8 March 2011

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

semisimple Lie groupbounded symmetric domainprehomogeneous vector spacePenrose transformindefinite Grassmann manifold

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Other hypergeometric functions and integrals in several variables (33C70) Twistor theory, double fibrations (complex-analytic aspects) (32L25)

Cites Work

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• Cohomology and massless fields
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• Discrete decomposability of restriction of \(A_{\mathfrak q}(\lambda)\) with respect to reductive subgroups and its applications
• Discrete decomposability of the restriction of \(A_{{\mathfrak q}}(\lambda)\) with respect to reductive subgroups. III: Restriction of Harish-Chandra modules and associated varieties
• Dolbeault cohomological realization of Zuckerman modules associated with finite rank representations
• Unitarizability of certain series of representations
• Multiplicity-free representations and visible actions on complex manifolds
• Twistor Algebra
• The Penrose transform for \(\text{Sp}(n,\mathbf R)\) and singular unitary representations

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