WHITE NOISE ANALYSIS ON MANIFOLDS AND THE ENERGY REPRESENTATION OF A GAUGE GROUP

DOI10.1142/S0219025710004243zbMath1218.22014arXiv0805.1329MaRDI QIDQ3070064

Takahiro Hasebe

Publication date: 2 February 2011

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.1329

zbMATH Keywords

white noisegauge groupenergy representation

Mathematics Subject Classification ID

White noise theory (60H40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Analysis on and representations of infinite-dimensional Lie groups (22E66)

Cites Work

• Unnamed Item
• Irreducibility and reducibility for the energy representation of the group of mappings of a Riemannian manifold into a compact semisimple Lie group
• White noise calculus and Fock space
• ON IRREDUCIBILITY OF THE ENERGY REPRESENTATION OF THE GAUGE GROUP AND THE WHITE NOISE DISTRIBUTION THEORY
• Lie groups beyond an introduction
• Equivalence of Sobolev spaces

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