7 papers · 1 filter
K-Theory and peiodic cyclic homology of some noncompact quantum algebras
Do Ngoc Diep, Aderemi O. Kuku
We prove in this paper that the periodic cyclic homology of the quantized algebras of functions on coadjoint orbits of connected and simply connected Lie group, are isomorphic to t…
Quantized Algebras of Functions on Affine Hecke Algebras
Do Ngoc Diep
The so called quantized algebras of functions on affine Hecke algebras of type A and the corresponding q-Schur algebras are defined and their irreducible unitarizable representatio…
A Survey of Noncommutative Chern Characters
Do Ngoc Diep
We report in this survey some new results concerning noncommutative Chern characters: construction and the cases when they are exactly computed. The major result indicates some cle…
Quantum Strata of Coadjoint Orbits
Do Ngoc Diep
In this paper we construct quantum analogs of strata of coadjoint orbits and describe their representations. This kind objects play an important role in describing quantum groups a…
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…
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…