Aq-difference analogue of U(g) and the Yang-Baxter equation
- Cite this article as:
- Jimbo, M. Lett Math Phys (1985) 10: 63. doi:10.1007/BF00704588
Aq-difference analogue of the universal enveloping algebra U(g) of a simple Lie algebra g is introduced. Its structure and representations are studied in the simplest case g=sl(2). It is then applied to determine the eigenvalues of the trigonometric solution of the Yang-Baxter equation related to sl(2) in an arbitrary finite-dimensional irreducible representation.