73 citations · 164 across the 18 of their papers we have counts for
23 papers
Cactus groups, twin groups, and right-angled Artin groups
Paolo Bellingeri, Hugo Chemin, Victoria Lebed
Cactus groups Jn are currently attracting considerable interest from diverse mathematical communities. This work explores their relations to right-angled Coxeter groups, and in par…
Involutive Yang-Baxter: cabling, decomposability, Dehornoy class
V. Lebed, S. Ramírez, L. Vendramin
We develop new machinery for producing decomposability tests for involutive solutions to the Yang-Baxter equation. It is based on the seminal decomposability theorem of Rump, and o…
The word problem for Hecke--Kiselman monoids of type and
Victoria Lebed
We exhibit explicit and easily realisable bijections between Hecke--Kiselman monoids of type /; certain braid diagrams on the plane/cylinder; and couples of i…
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…
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 to the Yang-Baxter equation, we construct a whole family of YBE solutions on indexed by its reflections $k…
Abelian quandles and quandles with abelian structure group
Victoria Lebed, Arnaud Mortier
Sets with a self-distributive operation (in the sense of , in particular quandles, app…