• Bipul Saurabh

      Articles written in Proceedings – Mathematical Sciences

    • Quantum quaternion spheres

      Bipul Saurabh

      More Details Abstract Fulltext PDF

      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.

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