Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
type: Item
instance of: scholarly article
title: Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
zbMATH Open document ID: 0664.58044
DOI: 10.1007/BF01393687
published in: Inventiones Mathematicae
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143589
review text: The notion of concrete monoidal \(W^*\)-category is introduced and investigated. A generalization of the Tannaka-Krein duality theorem is proved. It leads to new examples of compact matrix pseudogroups. Among them we have twisted SU(N) groups denoted by \(S_{\mu}U(N)\). It is shown that the representation theory for \(S_{\mu}U(N)\) is similar to that of SU(N): irreducible representations are labeled by Young diagrams and formulae for dimensions and multiplicity are the same as in the classical case.
Mathematics Subject Classification ID: 58H05
zbMATH DE Number: 4086607
zbMATH Keywords: monoidal \(W^*\)-category
zbMATH Keywords: Tannaka-Krein duality theorem
zbMATH Keywords: matrix pseudogroups
author: Stanisław Lech Woronowicz
MaRDI profile type: Publication
cites work: Q5594631
cites work: Q4693152
cites work: Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
cites work: Compact matrix pseudogroups
OpenAlex ID: W2041306468
description: scientific article; zbMATH DE number 4086607