38 citations · 135 across the 25 of their papers we have counts for
7 papers · 1 filter
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…
Uniformly vertex-transitive graphs
Simon Schmidt, Chase Vogeli, Moritz Weber
We introduce uniformly vertex-transitive graphs as vertex-transitive graphs satisfying a stronger condition on their automorphism groups, motivated by a problem which arises from a…
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…
Factorization of Frieze Patterns
Moritz Weber, Mang Zhao
In 2017, Michael Cuntz gave a definition of reducibility of quiddity cycles of frieze patterns: It is reducible if it can be written as a sum of two other quiddity cycles. We discu…
The classification of tensor categories of two-colored noncrossing partitions
Pierre Tarrago, Moritz Weber
Our basic objects are partitions of finite sets of points into disjoint subsets. We investigate sets of partitions which are closed under taking tensor products, composition and in…