Quantum principal commutative subalgebra in the nilpotent part of \(U_ q{\widehat {sl}}_ 2\) and lattice KdV variables

DOI10.1007/BF02099445zbMath0860.17024arXivhep-th/9402145OpenAlexW1989894736MaRDI QIDQ1891639

Benjamin Enriquez

Publication date: 22 June 1995

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9402145

zbMATH Keywords

homogeneous spacedifferential polynomialsquantum affine algebrageneralized KdV hierarchies

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Quantum field theory on lattices (81T25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (2)

U _q (𝒢^) Heisenberg Families ⋮ THE HEISENBERG FAMILY FOR THE PRINCIPAL GRADING OF $U_q(\hat{\cal G})$

Cites Work

• Quantum R matrix for the generalized Toda system

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