Noncommutative homogeneous spaces: The matrix case

作者：Banica Teodor^*; Skalski Adam; Soltan Piotr

来源：Journal of Geometry and Physics, 2012, 62(6): 1451-1466.

DOI：10.1016/j.geomphys.2012.02.003

• Homogeneous space
• Easy quantum group
• Group dual

Given a quantum subgroup G subset of U-n and a number k %26lt;= n we can form the homogeneous space X = G/(G boolean AND U-k), and it follows from the Stone-Weierstrass theorem that C(X) is the algebra generated by the last n - k rows of coordinates on G. In the quantum group case the analogue of this basic result does not necessarily hold, and we discuss here its validity, notably with a complete answer in the group dual case. We focus then on the %26quot;easy quantum group%26quot; case, with the construction and study of several algebras associated to the noncommutative spaces of type X = G/(G boolean AND U-k(+)). (C )2012 Elsevier B.V.

• 出版日期2012-6