40 citations · 150 across the 28 of their papers we have counts for
5 papers · 1 filter
On the representation categories of matrix quantum groups of type
Phung Ho Hai
A quantum groups of type is defined in terms of a Hecke symmetry. We show in this paper that the representation category of such a quantum group is uniquely determined as an ab…
The Uniqueness Of Integrals On Hopf Algebras, A categorical approach
Phung Ho Hai, Nguyen Huy Hung
We propose a new method to investigate the dimension of the space of integrals on a Hopf algebra and other properties of -comodules.
On The Poincare Series of Quadratic Algebras Associated to Hecke Symmetries
Nguyen Phuong Dung, Phung Ho Hai
Hecke symmetries generalize the usual tensor symmetry of vector spaces $v\otimes w\arrow w\otimes v$ as well as the symmetry of vector superspaces. To a Hecke symmetry there as…
The homological determinant of quatum groups of type A
Phung Ho Hai
A quantum group of type A is defined as a Hopf algebra associated to a Hecke symmetry. We show the homology of a Koszul complex associated to the Hecke symmetry is one dimensional…
Tannaka-Krein duality for Hopf algebroids
Phung Ho Hai
We develop the Tannaka-Krein duality for monoidal functors with target in the categories of bimodules over a ring. The $\coend$ of such a functor turns out to be a Hopf algebroid o…