Homogeneous vector bundles and intertwining operators for symmetric domains

DOI10.1016/j.aim.2016.08.036zbMath1353.47049arXiv1507.08636OpenAlexW2964053343MaRDI QIDQ323713

Harald Upmeier, Gadadhar Misra

Publication date: 10 October 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.08636

zbMATH Keywords

intertwining operatorWallach setJordan triple productirreducible actionhomogeneous operatorBergman operatorco-variant kernelholomorphic Hermitian homogeneous vector bundles

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Semisimple Lie groups and their representations (22E46) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (8)

On reducing submodules of Hilbert modules with \(\mathfrak{S}_n\)-invariant kernels ⋮ \(\mathbb{K}\)-homogeneous tuple of operators on bounded symmetric domains ⋮ Classification of quasi-homogeneous holomorphic curves and operators in the Cowen-Douglas class ⋮ A family of homogeneous operators in the Cowen–Douglas class over the poly-disc ⋮ Recursive formula for covariant derivatives and geometric classification of quotient modules ⋮ Homogeneous Hermitian holomorphic vector bundles and the Cowen-Douglas class over bounded symmetric domains ⋮ Similarity of quotient Hilbert modules in the Cowen-Douglas class ⋮ Homogeneous Hermitian holomorphic vector bundles and operators in the Cowen-Douglas class over the poly-disc

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