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math.QA1999
Quantum Co-Adjoint Orbits of the Group of Affine Transformations of the Complex Straight Line
Do Ngoc Diep, Nguyen Viet Hai
We construct start-products on the co-adjoint orbit of Lie group $\Aff({\bf C})$ of affine transformations of the complex straight line and apply them to obtain the irreducible uni…
math.QA1999
Quantum Half-Planes via Deformation Quantization
Do Ngoc Diep, Nguyen Viet Hai
We demonstrate the main idea of constructing irreducible unitary representations of Lie groups by using Fedosov deformation quantization in the concrete case of the group Aff(R) of…
math.QA1999
Compact quantum group C^*-algebras as Hopf algebras with approximate unit
Do Ngoc Diep, Phung Ho Hai, Aderemi O. Kuku
In this paper we construct and study the representation theory of a Hopf C^*-algebra with approximate unit, which constitutes quantum analogue of a compact group C^*-algebra. The c…