On dynamicalr-matrices obtained from Dirac reduction and their generalizations to affine Lie algebras

DOI10.1088/0305-4470/34/36/313zbMath1002.17011arXivmath-ph/0105047OpenAlexW3100584655MaRDI QIDQ2766242

No author found.

Publication date: 27 January 2002

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

Full work available at URL: https://arxiv.org/abs/math-ph/0105047

zbMATH Keywords

Yang-Baxter equationLie algebrasaffine algebrasDirac reductiondynamical \(r\)-matrix

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) PDEs in connection with quantum mechanics (35Q40) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (7)

Quantization of symplectic dynamical \(r\)-matrices and the quantum composition formula ⋮ Spin Calogero models obtained from dynamical \(r\)-matrices and geodesic motion ⋮ Gauge fixing and classical dynamical \(r\)-matrices in \(\mathrm{ISO}(2, 1)\)-Chern-Simons theory ⋮ Tau-functions and monodromy symplectomorphisms ⋮ Quantization of classical dynamical \(r\)-matrices with nonabelian base ⋮ Generalized classical dynamical Yang-Baxter equations and moduli spaces of flat connections on surfaces ⋮ Quasi-bialgebras and dynamical \(r\)-matrices

This page was built for publication: On dynamicalr-matrices obtained from Dirac reduction and their generalizations to affine Lie algebras