Decompositions of quasigraded Lie algebras, non-skew-symmetric classical \(r\)-matrices and generalized Gaudin models

DOI10.1016/J.GEOMPHYS.2013.09.001zbMath1284.17017OpenAlexW2086716963MaRDI QIDQ391159

T. V. Skrypnik

Publication date: 10 January 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2013.09.001

zbMATH Keywords

infinite-dimensional Lie algebrasclassical \(r\)-matricesGaudin-type systems

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Related Items (3)

Anisotropic Z n-graded classical r-matrix, deformed A n Toda- and Gaudin-type models, and separation of variables ⋮ Reduction in soliton hierarchies and special points of classical \(r\)-matrices ⋮ Reductions in finite-dimensional integrable systems and special points of classical r-matrices

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