Hopf coactions on odd spheres

Authors

Suvrajit Bhattacharjee, Indian Statistical Institute, Kolkata
Debashish Goswami, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Journal of Algebra

Abstract

We prove that the q-deformed unitary group, i.e., Uq(N), is the universal compact quantum group in the category of (compact) quantum groups which coact on the q-deformed odd sphere Sq2N−1 leaving the space spanned by the natural set of generators invariant and preserving the unique SUq(N) invariant functional on Sq2N−1. Using this, we identify Uq(N) as the quantum group of orientation preserving isometries (in the sense of Bhowmick and Goswami [5]) for a natural spectral triple associated with Sq2N−1 constructed by Chakraborty and Pal [9].

First Page

305

Last Page

325

DOI

10.1016/j.jalgebra.2019.08.012

Publication Date

12-1-2019

Comments

Open Access, Green

Recommended Citation

Bhattacharjee, Suvrajit and Goswami, Debashish, "Hopf coactions on odd spheres" (2019). Journal Articles. 597.
https://digitalcommons.isical.ac.in/journal-articles/597