Quantum quaternion spheres

详细信息    查看全文

• 作者：BIPUL SAURABH
• 关键词：Quantum group ; symplectic group ; universal C∗ ; algebra.
• 刊名：Proceedings - Mathematical Sciences
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：127
• 期：1
• 页码：133-164
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general;
• 出版者：Springer India
• ISSN：0973-7685
• 卷排序：127

文摘

For 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 an 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. We then exhibit a set of generators of the K-groups of this C∗-algebra in terms of generators of the C∗-algebra.