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Realizations of quantum hom-spaces, invariant theory and quantum determinantal ideals
Phung Ho Hai
For a Hecke operator , one defines the matrix bialgebra $\E_R$, which is considered as the function algebra on the quantum space of endomorphisms of the quantum space associated…
Integrals on Hopf algebras and Application to Representation Theory of Quantum Groups of Type
Phung Ho Hai
In this work we study some properties of comldules over (non-cosemisimple) Hopf algebras possessing integrals, which are also called co-Frobenius Hopf algebras. We apply the result…
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…
The Integral on Quantum Super Groups of Type
Phung Ho Hai
We compute the integral on matrix quantum (super) groups of type and derive from it the quantum analogue of (super) HCIZ integral.
Characters of Representations of Quantum Groups of Type
Phung Ho Hai
We introduce the notion of characters of comodules over coribbon Hopf algebras. The case of quantum groups of type is studied. We establish a characteristic equation for the…