Discrete Dynamical Systems with W(A(1)m−1 × A(1)n−1) Symmetry

By Kenji Kajiwara, M. Noumi, Y. Yamada. 2002

78 citations recorded by the source corpus.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/84a5e815047c072c19a3868b1a87da52f9fcbc10

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Sergei Silvestrov
2. Daniel S. D. Larsson
3. Abdenacer Makhlouf
4. V. E. Adler
5. Donald Yau
6. Alexander I. Bobenko
7. Yuri B. Suris
8. F. Ammar

In Statistical and Nonlinear Physics

1. Sergei Silvestrov
2. Daniel S. D. Larsson
3. Abdenacer Makhlouf
4. V. E. Adler
5. Alexander I. Bobenko
6. Yuri B. Suris
7. Donald Yau
8. Y. Sheng

Citations in the corpus

• Geometry of the Yang-Baxter Maps: pencils of conics and quadrirational mappings (2003, background): “Important examples of Yang–Baxter maps were found in [1, 12, 10, 6, 15, 8].”
• Burchnall-Chaundy Theory for q-Difference Operators and q-Deformed Heisenberg Algebras (2003, background): “ine Lax representation. One can explain in the same way the Lax matrices for more general Yang-Baxter maps on Grassmannians from [9]. Example 3. Yang-Baxter maps arising from geometric crystals [10], [11]. Let X = Cn, and define R : X ×X → X ×X by the formulas (10) ˜x j = x j P j P j−1 , y˜ j = y j P”