Twist equivalence and Nichols algebras over Coxeter groups
type: Item
instance of: scholarly article
title: Twist equivalence and Nichols algebras over Coxeter groups
author: G. Carnovale
author: Gabriel Maret
published in: Pacific Journal of Mathematics
publication date: 2025-01-02T00:00:00Z
Mathematics Subject Classification ID: 16T05
Mathematics Subject Classification ID: 16T30
Mathematics Subject Classification ID: 20F55
Mathematics Subject Classification ID: 16P10
zbMATH DE Number: 7961352
zbMATH Keywords: Coxeter groups
zbMATH Keywords: racks
zbMATH Keywords: Nichols algebras
MaRDI profile type: Publication
cites work: Q5503565
cites work: From racks to pointed Hopf algebras
cites work: Q4944224
cites work: On pointed Hopf algebras associated to some conjugacy classes in 𝕊_{𝕟}
cites work: On Twisted homogeneous racks of type D
cites work: The Nichols algebra of a semisimple Yetter-Drinfeld module
cites work: On Nichols algebras associated to simple racks
cites work: Finite-dimensional pointed Hopf algebras with alternating groups are trivial.
cites work: Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type. III: Semisimple classes in \(\mathrm{PSL}_n(q)\)
cites work: Nichols-Woronowicz algebra model for Schubert calculus on Coxeter groups.
cites work: Combinatorics of Coxeter Groups
cites work: Q3941610
cites work: Q4419462
cites work: Reflection subgroups of Coxeter systems
cites work: On pointed Hopf algebras over dihedral groups.
cites work: Q4227181
cites work: Finite-dimensional pointed Hopf algebras over \(\mathbb S_4\).
cites work: Q4509026
cites work: A freeness theorem for Nichols algebras
cites work: Rank 2 Nichols algebras with finite arithmetic root system
cites work: Classification of arithmetic root systems
cites work: Hopf Algebras and Root Systems
cites work: Nichols algebras over groups with finite root system of rank two. III.
cites work: A classification of Nichols algebras of semisimple Yetter-Drinfeld modules over non-abelian groups
cites work: The classification of Nichols algebras over groups with finite root system of rank two
cites work: Finite-dimensional Nichols algebras of simple Yetter-Drinfeld modules (over groups) of prime dimension
cites work: On the Schur Multipliers of Coxeter Groups
cites work: Shuffle algebras and perverse sheaves
cites work: Twisting of quantum differentials and the Planck scale Hopf algebra
cites work: Q5628326
cites work: Quasi-minuscule quotients and reduced words for reflections
cites work: Nichols algebras associated to the transpositions of the symmetric group are twist-equivalent.
DOI: 10.2140/PJM.2024.333.229
description: scientific article; zbMATH DE number 7961352