An infinite product formula for Uq(sl(2)) dynamical coboundary element
E. Buffenoir, Ph. Roche
Abstract
We give a short summary of results and conjectures in the theory of dynamical quantum group related to the dynamical coboundary equation also known as IRF-Vertex transform. O.Babelon has shown that the dynamical twist F(x) of Uq(sl(2)) is a dynamical coboundary M(x) i.e F(x)M1(xqh2)M2(x)=Δ(M(x)). We give a new formula for this element M(x) as an infinite product and give a new proof of the coboundary relation. Our proof involves the quantum Weyl group element, giving possible hint for the generalization to higher rank case.
Create a lesson
Related papers
Galois-modular obstructions to the categorification of near-group fusion rings
Víctor Blasco
The Askey-Wilson Function is the Laplace Transform of a Positive Measure
Aaron Agulnick
Associated Varieties of Finite-Group Orbifolds
Andrew Riesen
Haagerup symmetries of the E8 theory and conformal nets at central charge eight
Cédric Arhancet
Centralizers of maps as automorphism groups of Yang--Baxter solutions
Gigel Militaru
Quaternionic and Octonionic Frameworks for Quantum Computation: Mathematical Structures, Models, and Fundamental Limitations
Johan Heriberto Rúa Muñoz, Jorge Eduardo Mahecha Gómez, Santiago Pineda Montoya