Hopf coactions on odd spheres
Journal of Algebra
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 ) for a natural spectral triple associated with Sq2N−1 constructed by Chakraborty and Pal .
Bhattacharjee, Suvrajit and Goswami, Debashish, "Hopf coactions on odd spheres" (2019). Journal Articles. 597.
Open Access, Green