Lax operator algebras of type \(G_{2}\)

DOI10.1134/S1064562414020033zbMath1360.17029arXiv1304.2510OpenAlexW4250953800MaRDI QIDQ461890

Oleg K. Sheinman

Publication date: 15 October 2014

Published in: Doklady Mathematics, Topology, Geometry, Integrable Systems, and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.2510

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Families, moduli of curves (algebraic) (14H10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie (super)algebras (17B65) Differentials on Riemann surfaces (30F30)

Related Items (3)

Lax operator algebras and gradings on semi-simple Lie algebras ⋮ Hierarchies of finite-dimensional Lax equations with a spectral parameter on a Riemann surface and semisimple Lie algebras ⋮ Semisimple Lie algebras and Hamiltonian theory of finite-dimensional Lax equations with spectral parameter on a Riemann surface

Cites Work

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• Current algebras on Riemann surfaces. New results and applications.
• Krichever-Novikov algebras for more than two points: explicit generators
• Lax operator algebras
• Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons
• Vector bundles and Lax equations on algebraic curves
• Multipoint Lax operator algebras: almost-graded structure and central extensions
• Central extensions of Lax operator algebras

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