# Journal of the Ramanujan Mathematical Society

Volume 35, Issue 3, September 2020 pp. 201–216.

Quantum Stiefel manifolds

**Authors**:
Saurabh, Bipul

**Author institution:**IIT Gandhinagar, Palaj Gandhinagar 382 355, India

**Summary: **
Podkolzin and Vainerman claimed to prove that the *-algebra
Sqn,m underlying SUq(n)/SUq(n-m) is the
universal *-algebra given by a finite set of generators and
relations. This can be used to show that C(SUq(n)/
SUq(n-m)) is the universal C*-algebra given by a finite set
of generators and relations. But it appears that there is a
mistake in the proof of the first claim which invalidates the
latter claim. In this article, we establish in an independent way
that C(SUq(n)/SUq(n-m)) can be defined by a finite set of
generators and relations.

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