Quantum isometry groups of classical and quantum spheres

Authors

Debashish Goswami, Indian Statistical Institute, Kolkata
Jyotishman Bhowmick, Indian Statistical Institute, Kolkata

Document Type

Book Chapter

Publication Title

Infosys Science Foundation Series in Mathematical Sciences

Abstract

We begin by explicitly computing the quantum isometry groups for the classical spheres and show that these coincide with the commutative C* algebra of continuous functions on their classical isometry groups. The rest of the chapter is devoted to the computation of the quantum group of orientation preserving isometries for two different families of spectral triples on the Podles’ spheres, one constructed by Dabrowski et al and the other by Chakraborty and Pal.

First Page

97

Last Page

127

DOI

10.1007/978-81-322-3667-2_4

Publication Date

1-1-2016

Recommended Citation

Goswami, Debashish and Bhowmick, Jyotishman, "Quantum isometry groups of classical and quantum spheres" (2016). Book Chapters. 250.
https://digitalcommons.isical.ac.in/book-chapters/250