12 citations · 12 across the 4 of their papers we have counts for
6 papers
Anick resolution for the free unitary quantum group
Alexander Mang
A resolution of the counit of the Hopf -algebra of representative functions on van Daele and Wang's free unitary quantum group in terms of fr…
First Cohomology with Trivial Coefficients of All Unitary Easy Quantum Group Duals
Alexander Mang
The first quantum group cohomology with trivial coefficients of the discrete dual of any unitary easy quantum group is computed. That includes those potential quantum groups whose…
Non-Hyperoctahedral Categories of Two-Colored Partitions, Part II: All Possible Parameter Values
Alexander Mang, Moritz Weber
This article is part of a series with the aim of classifying all non-hyperoctahedral categories of two-colored partitions. Those constitute by some Tannaka-Krein type result the co…
Non-Hyperoctahedral Categories of Two-Colored Partitions, Part I: New Categories
Alexander Mang, Moritz Weber
Compact quantum groups can be studied by investigating their co-representation categories in analogy to the Schur-Weyl/Tannaka-Krein approach. For the special class of (unitary) "e…
Categories of Two-Colored Pair Partitions, Part II: Categories Indexed by Semigroups
Alexander Mang, Moritz Weber
Within the framework of unitary easy quantum groups, we study an analogue of Brauer's Schur-Weyl approach to the representation theory of the orthogonal group. We consider concrete…
Categories of Two-Colored Pair Partitions, Part I: Categories Indexed by Cyclic Groups
Alexander Mang, Moritz Weber
We classify certain categories of partitions of finite sets subject to specific rules on the colorization of points and the sizes of blocks. More precisely, we consider pair partit…