Lowest weight representations of some infinite dimensional groups on Fock spaces

DOI10.1007/BF00822205zbMath0729.22023MaRDI QIDQ805766

Martin Ulrich Schmidt

Publication date: 1990

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

symplectic grouptensor productsLie algebraHilbert-Schmidt operatorsmetaplectic groupseparable Hilbert spacescompletely reducibleSegal-Shale-Weil representationinvertible bounded operatorsminimal weight vectorsunitary lowest weight representations

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items (4)

Exponentiability of quadratic Hamiltonians. ⋮ Gauge symmetry and Howe duality in 4D conformal field theory models ⋮ Unitary positive-energy representations of scalar bilocal quantum fields ⋮ INFINITE DIMENSIONAL LIE ALGEBRAS IN 4D CONFORMAL FIELD THEORY

Cites Work

• Hermitian symmetric spaces and their unitary highest weight modules
• On fermionic gauge groups, current algebras and Kac-Moody algebras
• On singular holomorphic representations
• The last possible place of unitarity for certain highest weight modules
• Unitary representations of some infinite dimensional groups
• On the Segal-Shale-Weil representations and harmonic polynomials
• Linear Symmetries of Free Boson Fields

This page was built for publication: Lowest weight representations of some infinite dimensional groups on Fock spaces