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QUANTUM INCREASING SEQUENCES GENERATE QUANTUM PERMUTATION GROUPS

Published online by Cambridge University Press:  27 September 2019

PAWEŁ JÓZIAK*
Affiliation:
Faculty of Mathematics and Information Science, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warszawa, Poland e-mail: p.joziak@mini.pw.edu.pl

Abstract

We answer a question of Skalski and Sołan (2016) about inner faithfulness of the Curran’s map of extending a quantum increasing sequence to a quantum permutation. Roughly speaking, we find a inductive setting in which the inner faithfulness of Curran’s map can be boiled down to inner faithfulness of similar map for smaller algebras and then rely on inductive generation result for quantum permutation groups of Brannan, Chirvasitu and Freslon (2018).

Type
Research Article
Copyright
© Glasgow Mathematical Journal Trust 2019

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