Difference equations compatible with trigonometric KZ differential equations

By V. Tarasov, A. Varchenko. 2000

76 citations recorded by the source corpus.

The trigonometric KZ equations associated with a Lie algebra $\g$ depend on a parameter $\lambda\in\h$ where $\h\subset\g$ is the Cartan subalgebra. We suggest a system of dynamical difference equations with respect to $\lambda$ compatible with the KZ equations. The dynamical equations are constructed in terms of intertwining operators of $\g$-modules.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3377e1c0e2a301b426e10029b1cf586918240b9d

How researchers see this paper

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

In Algebra and Number Theory

1. V. Tarasov
2. A. Varchenko
3. Valerio Toledano Laredo
4. P. Boalch

In Geometry and Topology

1. V. Tarasov
2. A. Varchenko
3. Valerio Toledano Laredo
4. E. Mukhin
5. P. Boalch

In Statistical and Nonlinear Physics

1. V. Tarasov
2. A. Varchenko
3. Valerio Toledano Laredo
4. P. Boalch
5. E. Mukhin

Citations in the corpus

• Macdonald Polynomials and Algebraic Integrability (2002, unknown): “For an interesting example related to Knizhnik–Zamolodchikov equation see recent paper [ TV ].”
• Duality for Knizhnik–Zamolodchikov and Dynamical Equations (2001, methodology): “Remark. In notation of [ TV1 ] the series Bab(t) equals p(t −1; eaa −ebb, eab, eba).”