Quasi-periodic functions on the torus and sl(n)-elliptic Lie algebra

DOI10.1063/1.3681211zbMath1274.22012OpenAlexW2059527011WikidataQ115333360 ScholiaQ115333360MaRDI QIDQ2861726

T. V. Skrypnik

Publication date: 11 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3681211

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Virasoro and related algebras (17B68) Loop groups and related constructions, group-theoretic treatment (22E67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Elliptic cohomology (55N34)

Related Items (5)

On the general solution of the permuted classical Yang–Baxter equation and quasigraded Lie algebras ⋮ Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation ⋮ Infinite-dimensional Lie algebras, classical r-matrices, and Lax operators: Two approaches ⋮ Torsion free sheaves on Weierstrass cubic curves and the classical Yang-Baxter equation ⋮ Quasigraded bases in loop algebras and classical rational r-matrices

Cites Work

• The complex exponent of a singularity does not change along strata mu=const
• Reduction of Hamiltonian systems, affine Lie algebras and Lax equations
• Quasigraded deformations of loop algebras and classical integrable systems.
• Reduction groups and automorphic Lie algebras
• Quasigraded Lie algebras on hyperelliptic curves and classical integrable systems
• Deformations of loop algebras and integrable systems: hierarchies of integrable equations
• On a Lie algebra of vector fields on a complex torus
• DEFORMATIONS OF LOOP ALGEBRAS AND CLASSICAL INTEGRABLE SYSTEMS: FINITE-DIMENSIONAL HAMILTONIAN SYSTEMS
• Doubled  generalized Landau–Lifshitz hierarchies and special quasigraded Lie algebras

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