Branching rules for restriction of the Weil representations of Sp(n,R) to its maximal parabolic subgroup CM(n)

DOI10.1063/1.532625zbMath0935.81037OpenAlexW2061080232MaRDI QIDQ4701554

D. J. Rowe, Joe Repka

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532625

zbMATH Keywords

symplectic groupbranching ruleshydrodynamic collective modelmicroscopic shell modelvector-coherent-state theory of induced representations

Mathematics Subject Classification ID

Nuclear physics (81V35) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of group representations to physics and other areas of science (20C35)

Related Items (2)

Simple unified proofs of four duality theorems ⋮ A reducible Weil representation of sp(4) realized by differential operators in the space of smooth functions on H2 × S1

Cites Work

• On the Segal-Shale-Weil representations and harmonic polynomials
• Holomorphic discrete series for the real symplectic group
• Induced representation of locally compact groups. I
• Unitary representations, branching rules and matrix elements for the non-compact symplectic groups
• Vector coherent state theory and its application to the orthogonal groups
• Vector-coherent-state theory as a theory of induced representations
• Branching rules for classical Lie groups using tensor and spinor methods

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