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Finite-dimensional Nichols algebras of simple Yetter–Drinfeld modules (over groups) of prime dimension.

Authors :
Heckenberger, I.
Meir, E.
Vendramin, L.
Source :
Advances in Mathematics. May2024, Vol. 444, pN.PAG-N.PAG. 1p.
Publication Year :
2024

Abstract

Over fields of characteristic zero, we determine all absolutely irreducible Yetter–Drinfeld modules over groups that have prime dimension and yield a finite-dimensional Nichols algebra. To achieve our goal, we introduce orders of braided vector spaces and study their degenerations and specializations. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*ALGEBRA
*VECTOR spaces

Details

Language :
English
ISSN :
00018708
Volume :
444
Database :
Academic Search Index
Journal :
Advances in Mathematics
Publication Type :
Academic Journal
Accession number :
176611635
Full Text :
https://doi.org/10.1016/j.aim.2024.109637