Infinitesimal algebras for the hypercomplex system SO(4)//SO(2)

Quantum Stiefel manifold and double cosets of quantum unitary group

“…It is known that the homogeneous space SO(n)/SO(m) can be regarded as a Stiefel manifold S n,n−m . The infinitesimal object for the corresponding hypergroup structure was investigated in [15], [16].…”