A q-difference analogue of U(g) and the Yang-Baxter equation
Abstract
A q-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.
- Publication:
-
Letters in Mathematical Physics
- Pub Date:
- July 1985
- DOI:
- 10.1007/BF00704588
- Bibcode:
- 1985LMaPh..10...63J