Quasigraded deformations of loop algebras and classical integrable systems.

From MaRDI portal
Publication:1877501

DOI10.1023/A:1021349423637zbMath1047.37052OpenAlexW1636226010MaRDI QIDQ1877501

Yanyan Li

Publication date: 7 September 2004

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

Full work available at URL: https://doi.org/10.1023/a:1021349423637




Related Items (16)

On the general solution of the permuted classical Yang–Baxter equation and quasigraded Lie algebrasAnisotropic Z n-graded classical r-matrix, deformed A n Toda- and Gaudin-type models, and separation of variablesModified non-Abelian Toda field equations and twisted quasigraded Lie algebrasIntegrable quantum spin chains, non-skew symmetric \(r\)-matrices and quasigraded Lie algebrasDecompositions of quasigraded Lie algebras, non-skew-symmetric classical \(r\)-matrices and generalized Gaudin modelsSeparation of variables for quadratic algebras: Algebras of Maillet and reflection-equation algebrasNew integrable Gaudin-type systems, classical \(r\)-matrices and quasigraded Lie algebrasSpecial quasigraded Lie algebras and integrable Hamiltonian systemsDEFORMATIONS OF LOOP ALGEBRAS AND CLASSICAL INTEGRABLE SYSTEMS: FINITE-DIMENSIONAL HAMILTONIAN SYSTEMSInfinite-dimensional Lie algebras, classical r-matrices, and Lax operators: Two approachesDeformations of loop algebras and integrable systems: hierarchies of integrable equationsIntegrable deformations of the mKdV and SG hierarchies and quasigraded Lie algebrasSeparation of variables, Lax-integrable systems and \(gl(2) \otimes gl(2)\)-valued classical \(r\)-matricesQuasi-periodic functions on the torus and sl(n)-elliptic Lie algebraGeneralized quantum Gaudin spin chains, involutive automorphisms and “twisted” classical r-matricesQuasigraded bases in loop algebras and classical rational r-matrices




This page was built for publication: Quasigraded deformations of loop algebras and classical integrable systems.