Projective unitary representations of smooth Deligne cohomology groups

DOI10.1016/j.geomphys.2009.06.012zbMath1179.53044arXivmath/0510187OpenAlexW2025390203MaRDI QIDQ838480

Kiyonori Gomi

Publication date: 26 August 2009

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510187

zbMATH Keywords

gerbeinfinite-dimensional representation p-form gauge theorysmooth Deligne cohomology

Mathematics Subject Classification ID

Representations of general topological groups and semigroups (22A25) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Global Riemannian geometry, including pinching (53C20) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Group structures and generalizations on infinite-dimensional manifolds (58B25) Differential geometric aspects of gerbes and differential characters (53C08)

Related Items (3)

Heisenberg groups and noncommutative fluxes ⋮ Central extensions of gauge transformation groups of higher Abelian gerbes ⋮ Functional integration and gauge ambiguities in generalized abelian gauge theories

Cites Work

• Heisenberg groups and noncommutative fluxes
• Unitary representations of some infinite dimensional groups
• On linearizable irreducible projective representations of finite groups
• Central extensions of gauge transformation groups of higher Abelian gerbes
• Loop groups and twisted K -theory I
• An analogue of the space of conformal blocks in (4k+2)-dimensions
• Loop spaces, characteristic classes and geometric quantization
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