Unitary positive energy representations of the gauge group

DOI10.1007/BF00570762zbMath0618.22013OpenAlexW2021657933MaRDI QIDQ1089114

Bruno S. Torrésani

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf00570762

zbMATH Keywords

gauge groupgeneralized Verma modulesunitarizable representationsgeneralized loop algebrasrepresentations with highest weight

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Applications of Lie groups to the sciences; explicit representations (22E70) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items (4)

Some remarks on representations of jet groups and gauge groups ⋮ Semibounded unitary representations of double extensions of Hilbert-loop groups ⋮ Classification and construction of quasisimple Lie algebras ⋮ On automorphisms and isomorphisms of quasi-simple Lie algebras

Cites Work

• Irreducibility and reducibility for the energy representation of the group of mappings of a Riemannian manifold into a compact semisimple Lie group
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