Triple

Target class: solution of the Yang–Baxter equation
Context triple: [R-matrix, instanceOf, solution of the Yang–Baxter equation]

• A. fundamental object in integrable systems chosen
  A fundamental object in integrable systems is a core mathematical structure—such as a Lax pair, R-matrix, or tau-function—that encodes the system’s infinite set of conserved quantities and enables its exact solvability.
• B. quantum invariant
  A quantum invariant is a quantity associated with a quantum system or topological object that remains unchanged under specified transformations, often used to distinguish or classify quantum states, knots, or manifolds.
• C. deformation of Onsager algebra
  A deformation of the Onsager algebra is a modified version of the original Onsager algebra in which its defining relations are altered—typically by introducing one or more deformation parameters—while preserving a recognizable remnant of its integrable and symmetry structures.
• D. Laurent polynomial-valued invariant
  A Laurent polynomial-valued invariant is a quantity assigned to mathematical objects (such as knots, links, or manifolds) that remains unchanged under specified transformations and takes the form of a Laurent polynomial in one or more variables.
• E. integrable rigid body system
  An integrable rigid body system is a mechanical model of a rigid body whose equations of motion admit enough conserved quantities to be solved exactly, typically allowing its dynamics to be expressed in terms of action-angle variables.
• F. None of above.