Factors of automorphy and Fock representations

DOI10.1016/0001-8708(71)90043-0zbMath0219.22016OpenAlexW2032227750MaRDI QIDQ2546962

Ichiro Satake

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1016/0001-8708(71)90043-0

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (11)

ON THE GEOMETRY OF SIEGEL–JACOBI DOMAINS ⋮ Quantization of Kähler manifolds. IV ⋮ Invariant metric on the extended Siegel-Jacobi upper half space ⋮ Unitary Structures on Cohomology ⋮ On 3-graded Lie algebras, Jordan pairs and the canonical kernel function ⋮ Coherent states and projective representation of the linear canonical transformations ⋮ Unitary representations of a semi-direct product of Lie groups on \(\bar\partial\)-cohomology spaces ⋮ Unitary representations of a semi-direct product of Lie groups on \(\bar \partial\)-cohomology spaces ⋮ Singular unitary representations and indefinite harmonic theory ⋮ On Siegel modular forms of half-integral weights and Jacobi forms ⋮ Borel-Le Potier diagrams - calculus of their cohomology bundles

Cites Work

• Unitary representations of a semi-direct product of Lie groups on \(\bar\partial\)-cohomology spaces
• Sur certains groupes d'opérateurs unitaires
• On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory
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