• Quantum quaternion spheres

• Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/127/01/0133-0164

• Keywords

Quantum group; symplectic group; universal $C\ast$-algebras.

• Abstract

For the quantum symplectic group $SP_q(2n)$, we describe the $C^\ast$-algebra of continuous functions on the quotient space $SP_q(2n)/SP_q(2n − 2)$ as an universal $C^\ast$-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 $C^\ast$-algebra in terms of generators of the $C^\ast$-algebra.

• Author Affiliations

1. Indian Statistical Institute, 7, SJSS Marg, New Delhi 110 016, India

• Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 3
June 2019