Integral models of representations of the current groups of simple Lie groups

DOI10.1070/RM2009V064N02ABEH004615zbMath1202.22019WikidataQ115323578 ScholiaQ115323578MaRDI QIDQ3646285

Mark I. Graev, Anatoly M. Vershik

Publication date: 20 November 2009

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

Fock representationcanonical representationinfinite-dimensional Lebesgue measurespecial representationcurrent groupintegral model

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Other representations of locally compact groups (22D12) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

Related Items (3)

The Poisson model of the Fock space and representations of current groups ⋮ Nonunitary representations of the groups of \(U(p, q)\)-currents for \(q\geq p > 1\) ⋮ Cohomology in nonunitary representations of semisimple Lie groups (the group \(U(2,2)\))

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