Quantum quaternion spheres
Proceedings of the Indian Academy of Sciences: Mathematical Sciences
For the quantum symplectic group SPq (2n), we describe the C *-algebra of continuous functions on the quotient space SPq (2n)/SPq (2n-2) as an universal C *-algebra given by a finite set of generators and relations. The proof involves a careful analysis of the relations, and use of the branching rules for representations of the symplectic group due to Zhelobenko. We then exhibit a set of generators of the K-groups of this C *-algebra in terms of generators of the C *-algebra.
Saurabh, Bipul, "Quantum quaternion spheres" (2017). Journal Articles. 2695.