V. Lebed

activity

20122022

most citedHomology of left non-degenerate set-theoretic solutions to the Yang-Baxter equation

73 citations · 164 across the 18 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.AT2020

The homology of permutation racks

Victoria Lebed, Markus Szymik

Despite a blossoming of research activity on racks and their homology for over two decades, with a record of diverse applications to central parts of contemporary mathematics, ther…

math.QA2020★ 5 cited

Reflection equation as a tool for studying solutions to the Yang-Baxter equation

V. Lebed, L. Vendramin

Given a right-non-degenerate set-theoretic solution $(X, r)$ to the Yang-Baxter equation, we construct a whole family of YBE solutions $r^{(k)}$ on $X$ indexed by its reflections $k…