Quantum quaternion spheres

Authors

Bipul Saurabh, Indian Statistical Institute (Delhi Centre)

Article Type

Research Article

Publication Title

Proceedings of the Indian Academy of Sciences: Mathematical Sciences

Abstract

For the quantum symplectic group SPq (2n), we describe the C *-algebra of continuous functions on the quotient space SPq (2n)/SPq (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.

First Page

133

Last Page

164

DOI

10.1007/s12044-016-0318-z

Publication Date

2-1-2017

Comments

Open Access, Green

Recommended Citation

Saurabh, Bipul, "Quantum quaternion spheres" (2017). Journal Articles. 2695.
https://digitalcommons.isical.ac.in/journal-articles/2695