Dynamical twists in group algebras
type: Item
instance of: scholarly article
zbMATH Open document ID: 0998.17016
DOI: 10.1155/S1073792801000356
author: Dmitri Nikshych
author: Pavel Etingof
publication date: 2002-09-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0101046
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 81R50
zbMATH DE Number: 1658399
zbMATH Keywords: dynamical \(R\)-matrices
zbMATH Keywords: dynamical quantum groups
zbMATH Keywords: dynamical twist
zbMATH Keywords: quantum dynamical Yang-Baxter equation
MaRDI profile type: Publication
arXiv ID: math/0101046
OpenAlex ID: W1763182231
published in: IMRN. International Mathematics Research Notices
title: Dynamical twists in group algebras
review text: The authors classify dynamical twists in group algebras of finite groups over an algebraically closed field \(k\) of characteristic zero. Let \(A\) be an abelian subgroup of a finite group \(G\). A dynamical datum for \((G, A)\) is a subgroup \(K\) of \(G\) together with a family of irreducible projective representations of \(K\) satisfying a certain coherence condition. Their main result is that there is a bijection between NEWLINENEWLINENEWLINE(i) gauge equivalence classes of dynamical twists \(J:A^*\rightarrow k[G]\otimes k[G]\) and NEWLINENEWLINENEWLINE(ii) isomorphism classes of dynamical data for \((G, A)\).
reviewed by: Ye Jiachen
description: scientific article; zbMATH DE number 1658399