2 citations · 2 across the 3 of their papers we have counts for
4 papers
A prismatic classifying space
J. Scott Carter, Victoria Lebed, Seung Yeop Yang
A qualgebra is a set having two binary operations that satisfy compatibility conditions which are modeled upon a group under conjugation and multiplication. We develop a homolo…
A translation of A.A.Vinogradov's "On the free product of ordered groups"
Victoria Lebed, Arnaud Mortier
This is a translation from Russian of the article by A.A.Vinogradov: On the free product of ordered groups, Mat. Sb. (N.S.), 1949, Volume 25(67), Number 1, 163-168. The main result…
Cohomology of finite monogenic self-distributive structures
Victoria Lebed
A shelf is a set with a binary operation~$\op$ satisfying $a \op (b \op c) = (a \op b) \op (a \op c)$. Racks are shelves with invertible translations $b \mapsto a \op b$; many of t…
Symmetric Categories as a Means of Virtualization for Braid Groups and Racks
Victoria Lebed
In this paper we propose, firstly, a categorification of virtual braid groups and groupoids in terms of "locally" braided objects in a symmetric category (SC), and, secondly, a def…