Solving Baxter's TQ-equation via representation theory

Details Solving Baxter's TQ-equation via representation theory Solving Baxter's TQ-equation via representation theory

2004-11-09

arxiv.org/abs/math-ph/0411034v2

in "Non-Commutative Geometry and Representation Theory in Mathematical Physics" Contemporary Mathematics v391, eds J. Fuchs et

Physics

Mathematical Physics

13 pages. Submitted to the Proceedings "Non-Commutative Geometry & Representation Theory in Mathematical Physics", July 2004,

Scientific paper

Baxter's TQ-equation is solved for the six-vertex model using the representation theory of quantum groups at roots of unity. A novel simplified construction of the Q-operator is given depending on a new free parameter. Specializing this general construction to even roots of unity and lattices with an odd number of columns two linearly independent operator solutions of Baxter's TQ equation are obtained as special limits.

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