D. Solovyev

collaborators

3 papers

math.QA2025

Lectures on SL(3) foams and link homology

Mikhail Khovanov, Dmitry Solovyev

These notes are based on the three lectures that one of the authors gave at Tsinghua University in the summer of 2023 as part of the workshop on Geometric Representation Theory and…

math.RT2024

Infinite-dimensional representations of $U_{q} (sl_{2})$ and the shadow world: quantum $6 j$ -symbols for Verma modules

Dmitry Solovyev

This paper initiates the study of invariants of links associated to infinite-dimensional representations of $U_{q} (sl_{2})$ using graphical representation for quantum $6 j$ -s…

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.…

Lectures on SL(3) foams and link homology

Infinite-dimensional representations of Uq​(sl2​) and the shadow world: quantum 6j-symbols for Verma modules

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

Infinite-dimensional representations of $U_{q} (sl_{2})$ and the shadow world: quantum $6 j$ -symbols for Verma modules

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