Seminar at SMU Delhi

August 12, 2015 (Wednesday) , 3:30 PM at Webinar
Speaker: Bipul Saurabh, Indian Statistical Institute, Delhi
Title: Quantum quaternion algebra
Abstract of Talk
Since Podles introduced the notions of quantum subgroups and quantum quotient spaces, the main examples have been the subgroups and the quotient spaces of the compact quantum group $SU_q(n)$. In this talk, we discuss the quotient space $SP_q(2n)/SP_q(2n-2)$ of the quantum symplectic group $SP_q(2n)$. We describe the $C^*$-algebra of continuous functions on the quotient space $SP_q(2n)/SP_q(2n-2)$ as a 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.