Generalized Knizhnik-Zamolodchikov equations and the factorization of their solutions

DOI10.1007/BF01208387zbMath0829.35124MaRDI QIDQ1896934

Valentina Golubeva, V. P. Leksin

Publication date: 12 September 1995

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

braid groupsroot systemYang-Baxter equationsFuchsian systemscomplete integrability conditionsgeneralized \(r\)-matrices

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Braid groups; Artin groups (20F36) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

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Cites Work

• Unnamed Item
• Factorizing particles on a half-line and root systems
• Current algebras and Wess-Zumino model in two dimensions
• Monodromy representations for generalized Knizhnik-Zamolodchikov equations and Hecke algebras
• ON THE FUNDAMENTAL MATRIX OF A PFAFFIAN SYSTEM OF FUCHSIAN TYPE