594 citations
- IMAR - Institutul de Matematică „Simion Stoilow” al Academiei RomâneRO279 papers
- Centre National de la Recherche ScientifiqueFR125 papers
- University of BucharestRO93 papers
- Academia Oamenilor de Știință din RomâniaRO59 papers
- Czech Academy of Sciences, Institute of MathematicsCZ43 papers
- Alexandru Ioan Cuza UniversityRO37 papers
- Instituto de Astrofísica de CanariasES37 papers
- Royal Observatory of BelgiumBE35 papers
- University of LancashireGB34 papers
- Observatoire de ParisFR31 papers
- Universidad de La LagunaES30 papers
- Institut de Mécanique Céleste et de Calcul des ÉphéméridesFR29 papers
39 papers · 1 filter
Burnside type results for fusion categories
Sebastian Burciu, Sebastien Palcoux
In this paper, we extend a classical vanishing result of Burnside from the character tables of finite groups to the character tables of commutative fusion rings, or more generally…
Structure constants, Isaacs property and Extended Haagerup fusion categories
Sebastian Burciu, Sebastien Palcoux
This paper presents an abstract Isaacs property that involves the Fourier transform for fusion rings, which may be non-commutative, thus expanding upon the commutative version desc…
On the Galois symmetries for the character table of an integral fusion category
Sebastian Burciu
In this paper we show that integral fusion categories with rational structure constants admit a natural group of symmetries given by the Galois group of their character tables. We…
The Unification of Nonassociative Structures
Florin F. Nichita
The main non-associative algebras are Lie algebras and Jordan algebras. There are several ways to unify these non-associative algebras and associative algebras.
Representations and Conjugacy Classes of Semisimple Quasitriangular Hopf Algebras
Sebastian Burciu
In this paper we give two general formulae for the Müger centralizers in the category of representations of a semisimple quasitriangular Hopf algebra. The first formula is given in…
Constructing Hopf braces
A. L. Agore
We investigate Hopf braces, a concept recently introduced by Angiono, Galindo and Vendramin in connection to the quantum Yang-Baxter equation. More precisely, we propose two method…