Generalizations of Felder's elliptic dynamical \(r\)-matrices associated with twisted loop algebras of self-dual Lie algebras

DOI10.1016/S0550-3213(01)00609-5zbMath0985.17014arXivmath/0109132MaRDI QIDQ5951831

Béla Gábor Pusztai, László Fehér

Publication date: 7 January 2002

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0109132

zbMATH Keywords

evaluation homomorphismsfinite-dimensional subspacesinvariant scalar product

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (3)

Geometry of Higgs bundles over elliptic curves related to automorphisms of simple Lie algebras, Calogero-Moser systems, and KZB equations ⋮ On the universal ellipsitomic KZB connection ⋮ Generalized model of interacting integrable tops

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lie groups and algebras with applications to physics, geometry, and mechanics
• Geometry and classification of solutions of the classical dynamical Yang-Baxter equation
• Central extensions of current groups in two dimensions
• Chiral extensions of the WZNW phase space, Poisson-Lie symmetries and groupoids
• Twisted traces of intertwiners for Kac-Moody algebras and classical dynamical \(R\)-matrices corresponding to generalized Belavin-Drinfeld triples
• A class of integrable spin Calogero-Moser systems
• Conformal blocks on elliptic curves and the Knizhnik-Zamolodchikov-Bernard equations
• The Gervais-Neveu-Felder equation and the quantum Calogero-Moser systems
• The non-commutative Weil algebra
• A note on a canonical dynamicalr-matrix
• QUASITRIANGULAR WZW MODEL
• On the structure of symmetric self-dual Lie algebras
• On the moduli space of classical dynamical \(r\)-matrices

This page was built for publication: Generalizations of Felder's elliptic dynamical \(r\)-matrices associated with twisted loop algebras of self-dual Lie algebras