Quantum quaternion spheres

Proceedings Mathematical Sciences

Bipul Saurabh¹ 

[1] Indian Statistical Institute, , SJSS Marg, New Delhi 0 0, India$$

关键词: Quantum group;    symplectic group;    universal $Cast$-algebras.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown