• Quantum quaternion spheres

    • Fulltext


        Click here to view fulltext PDF

      Permanent link:

    • 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


      Bipul Saurabh1

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

  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.