On quantum quaternion spheres
Operator Algebras
2015-09-09 v4
Abstract
We give an explicit description of the -deformation of symplectic group at the -algebra level and find all irreducible representations of this -algebra. Further we describe the -algebra of the quotient space in terms of generators and relations. We compute its -theory by obtaining a chain of short exact sequence for the -algebras underlying such manifolds.
Cite
@article{arxiv.1401.3503,
title = {On quantum quaternion spheres},
author = {Bipul Saurabh},
journal= {arXiv preprint arXiv:1401.3503},
year = {2015}
}
Comments
Latex, 36 pages, v2: Few typos corrected and some formatting changes done, v3: Last section removed due to an error, Title changed, v4: Some formatting changes done, One proof added, To appear in Proc. Indian Acad. Sci. Math. Sci