Associated noncommutative vector bundles over the Vaksman–Soibelman quantum complex projective spaces

Banach Center Publications, vol. 120, pp. 161–168

Abstract

By a diagonal embedding of $U(1)$ in $SU_q(m)$, we prolongate the diagonal circle action on the Vaksman–Soibelman quantum sphere $S^{2n+1}_q$ to the $SU_q(m)$-action on the prolongated bundle. Then we prove that the noncommutative vector bundles associate

Authors 3

1. Francesca Arici Aachen

   Leiden University

   Affiliation as printed

   Mathematical Institute Leiden University P.O. Box 9512 2300 RA Leiden, the Netherlands <a href="https://orcid.org/0000-0001-8326-6135">ORCID: 0000-0001-8326-6135</a>

2. Piotr M. Hajac

   Institute of Mathematics

   Affiliation as printed

   Instytut Matematyczny Polskiej Akademii Nauk Śniadeckich 8 00-656 Warszawa, Poland <a href="https://orcid.org/0000-0001-9764-5697">ORCID: 0000-0001-9764-5697</a>

3. Mariusz Tobolski

   Institute of Mathematics

   Affiliation as printed

   Instytut Matematyczny Polskiej Akademii Nauk Śniadeckich 8 00-656 Warszawa, Poland <a href="https://orcid.org/0000-0001-7738-8515">ORCID: 0000-0001-7738-8515</a>