4 papers
Compact coalgebras, compact quantum groups and the positive antipode
A. Abella, W. Ferrer Santos, M. Haim
In this article -that has also the intention to survey some known results in the theory of compact quantum groups using methods different from the standard and with a strong algebr…
Generator coalgebras are not necessarily quasi-coFrobenius
Mariana Haim, Blas Torrecillas
We study the problem of whether a coalgebra that generates its category of left (right) comodules is left (right) quasi-coFrobenius or not. We prove it does not hold in general, by…
Radford's formula for biFrobenius algebras and applications
Walter Ferrer Santos, Mariana Haim
In a biFrobenius algebra H, in particular in the case that H is a finite dimensional Hopf algebra, the antipode S can be decomposed as S= cf where c and f are the Frobenius and coF…
Group-Like algebras and Hadamard matrices
Mariana Haim
We give a description in terms of square matrices of the family of group-like algebras with . In the case that and is not 2 and does not divide the…