A. Kula

activity

20162023

most citedSecond cohomology groups of the Hopf

^{*}

-algebras associated to universal unitary quantum groups

2 citations · 3 across the 2 of their papers we have counts for

collaborators

5 papers

math.QA2023★ 1 cited

Free resolutions for free unitary quantum groups and universal cosovereign Hopf algebras

Isabelle Baraquin, Uwe Franz, Malte Gerhold +2

We find a finite free resolution of the counit of the free unitary quantum groups of van Daele and Wang and, more generally, Bichon's universal cosovereign Hopf algebras with a gen…

math.QA2021★ 2 cited

Second cohomology groups of the Hopf $^{*}$ -algebras associated to universal unitary quantum groups

Biswarup Das, Uwe Franz, Anna Kula +1

We compute the second (and the first) cohomology groups of $^{*}$ -algebras associated to the universal quantum unitary groups of not neccesarily Kac type, extending our earlier resul…

math.OA2020

Hunt's Formula for $S U_{q} (N)$ and $U_{q} (N)$

Uwe Franz, Anna Kula, J. Martin Lindsay +1

We provide a Hunt type formula for the infinitesimal generators of Lévy process on the quantum groups $S U_{q} (N)$ and $U_{q} (N)$ . In particular, we obtain a decomposition of such gener…

math.QA2017

Lévy-Khintchine decompositions for generating functionals on algebras associated to universal compact quantum groups

Biswarup Das, Uwe Franz, Anna Kula +1

We study the first and second cohomology groups of the $^{*}$ -algebras of the universal unitary and orthogonal quantum groups $U_{F}^{+}$ and $O_{F}^{+}$ . This provides valuable information…

math.FA2016

Rank two perturbations of matrices and operators and operator model for t-transformation of probability measures

Anna Kula, Michal Wojtylak, Janusz Wysoczański

Rank two parametric perturbations of operators and matrices are studied in various settings. In the finite dimensional case the formula for a characteristic polynomial is derived a…