Non-existence of homomorphisms between quantum groups
type: Item
instance of: scholarly article
title: Non-existence of homomorphisms between quantum groups
zbMATH Open document ID: 0779.17011
author: Takahiro Hayashi
published in: Tokyo Journal of Mathematics
publication date: 1994-01-23T00:00:00Z
review text: Let \(C_{\hbar,\psi}[SL(N)]\) (resp., \(C_{\hbar,\phi}[SO(N)]\), \(C_{\hbar,\phi}[SP(N)]\)) denote the algebra of functions on the multiparameter quantum group of the indicated type, with multiparameter \(\psi\) (resp., \(\phi\)). It is shown that there exists no nontrivial Hopf algebra homomorphism from \(C_{\hbar,\psi}[SL(N)]\) neither into \(C_{\hbar,\phi}[SO(N)]\) nor into \(C_{\hbar,\phi}[SP(N)]\).
Mathematics Subject Classification ID: 17B37
zbMATH DE Number: 179100
zbMATH Keywords: non-existence
zbMATH Keywords: multiparameter quantum group
zbMATH Keywords: Hopf algebra homomorphism
reviewed by: Nicolás Andruskiewitsch
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1270129467
OpenAlex ID: W2031849189
DOI: 10.3836/TJM/1270129467
description: scientific article; zbMATH DE number 179100