N. Reshetikhin

collaborators

2 papers

math.QA2025

The holonomy braiding for $U_{ξ} (sl_{2})$ in terms of geometric quantum dilogarithms

Calvin McPhail-Snyder, Nicolai Reshetikhin

We derive an explicit formula for the holonomy $R$ -matrix of quantum $sl_{2}$ at a root of unity. We show it factorizes into a product of four quantum dilogarithms and sat…

math.RT2024

Tensor powers of vector representation of $U_{q} (sl_{2})$ at even roots of unity

Anna Lachowska, Olga Postnova, Nicolai Reshetikhin +1

We study the decomposition of tensor powers of two dimensional irreducible representations of quantum $sl_{2}$ at even roots of unity into direct sums of tilting modules.…

The holonomy braiding for Uξ​(sl2​) in terms of geometric quantum dilogarithms

Tensor powers of vector representation of Uq​(sl2​) at even roots of unity

The holonomy braiding for $U_{ξ} (sl_{2})$ in terms of geometric quantum dilogarithms

Tensor powers of vector representation of $U_{q} (sl_{2})$ at even roots of unity