3 papers
math.QA2025
Quartic BV structures in supercategories and modified necklace Lie bialgebras
Nikolai Perry
We introduce a modified version of the necklace Lie bialgebra associated to a quiver, in which the bracket and cobracket insert (rather than remove) pairs of arrows in involution.…
math.QA2024
Graded Necklace Lie Bialgebras and Batalin-Vilkovisky Formalism
Nikolai Perry, Ján Pulmann
An involutive Lie bialgebra induces a Batalin-Vilkovisky operator on its exterior algebra. We introduce a graded generalization of the necklace Lie bialgebra, which depends on a ch…
math.RT2022
A Quiver Analogue of Higman's Conjecture
Lucien Hennecart, Nikolai Perry
An unresolved conjecture by Graham Higman states that for all the number of conjugacy classes of the group of unitriangular matrices with entries in the fini…