Krichever-Novikov algebras, their representations and applications in geometry and mathematical physics
DOI10.1134/S0081543811070029zbMath1330.17031MaRDI QIDQ2510777
Publication date: 4 August 2014
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Krichever-Novikov algebrasKnizhnik-Zamolodchikov equationsapplications to the geometry of moduli spacesfermion representationssecond-order Casimir operators of affine Krichever-Novikov algebrassemi-Casimirstangent spaces to the moduli spaces of Riemann surfaces
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)
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