Algebra in constructive mathematical physics

DOI10.1070/RM1990V045N05ABEH002661zbMATH Open0761.46056OpenAlexW2044187273MaRDI QIDQ3970402

V. A. Malyshev

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1070/rm1990v045n05abeh002661

zbMATH Keywords

quantum field theoryquantum algebrasIsing modelsupersymmetryBosonizationindex theoryHamiltonian modelEuclidean modelsquantum solitonsconstructive mathematical physicsisomorphism between Bose-Fock and Fermi-Fock spaces in dimension onequantum differential geometry

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Constructive quantum field theory (81T08) Applications of functional analysis in quantum physics (46N50)

Related Items (3)

The algebraic structure of physical quantities ⋮ Algebraization of integral equations of mathematical physics ⋮ Commutative Algebras Associated with Classic Equations of Mathematical Physics

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