Solitons and Infinite Dimensional Lie Algebras

1983/12/31 by Michio Jimbo, Tetsuji Miwa · 26 citations
Mathematics · #Advanced Topics in Algebra

paper · pdf · doi:10.2977/prims/1195182017

crossref issued 1983/12/31 · crossref published 1983/12/31 · crossref published-print 1983/12/31 · openalex publication_date 1983/12/31 · crossref created 2008/01/24 · openalex created_date 2025/10/10 · crossref deposited 2025/11/12 · crossref indexed 2026/07/30 · openalex updated_date 2026/07/31

Citations

• Theory of Nonlinear Lattices

Cited by

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• Toda Lattice Hierarchy and Zamolodchikov's Conjecture
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• q-discrete Toda molecule equation
• Schur Polynomials and The Yang-Baxter Equation
• AMOEBAS AND INSTANTONS
• The vector k-constrained KP hierarchy and Sato's Grassmannian
• Quantum Systems Exactly
• Instantons on ALE spaces and orbifold partitions
• Zero curvature representation for classical lattice sine-Gordon model via quantum R matrix
• Supermatrix models and multi ZZ-brane partition functions in minimal superstring theories
• Combinatorial Bethe Ansatz and Ultradiscrete Riemann Theta Function with Rational Characteristics
• Random trees between two walls: exact partition function
• Solitons in affine Toda field theories
• Co-adjoint orbits of the generalised S1(2), S1(3) KdV hierarchies
• The power of Nekrasov functions
• Wall-Crossing, Free Fermions and Crystal Melting
• The discrete potential Boussinesq equation and its multisoliton solutions
• Melting Crystal, Quantum Torus and Toda Hierarchy
• Intersection numbers on \mathcal M_g,n and BKP hierarchy
• Menelausapos theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy
• Bases of representations of type A affine Lie algebras via quiver varieties and statistical mechanics
• On the trigonometric Felderhof model with domain wall boundary conditions
• Integrable semi-discretization of a multi-component short pulse equation
• Tetsuji Miwa [wikipedia]