Theoretical Statistics and Mathematics Unit, ISI 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.