22 citations · 45 across the 11 of their papers we have counts for
11 papers
Eigenvalue-less matrices from SL to PSL
Juan Lucas Callo, George Chen, Yasiru Jayasooriya +5
We analyse the set of matrices in SL without eigenvalues explicitly, extracting nice bijections between the 18 equally sized conjugacy classes contained within. I…
Translation of Mathieu's On the five-fold transitive function of 24 quantities
Yiming Bing, Bright Hu, Ronni Hu +11
We translated the paper 'On the five-fold transitive function of 24 quantities' by Émile Mathieu into English. This was done to aid our project on expressing as additive f…
The Mathieu group as additive functions on the finite field of size
Yiming Bing, Bright Hu, Ronni Hu +8
We explicitly extend the standard permutation action of the Mathieu group on a 23 element set contained in a finite field of elements $\mathbb{F}_{2^{1…
Symplectic level-rank duality via tensor categories
Victor Ostrik, Eric C. Rowell, Michael Sun
We give two proofs of a level-rank duality for braided fusion categories obtained from quantum groups of type at roots of unity. The first proof uses conformal embeddings, whil…
Bounds on metric dimension for families of planar graphs
Carl Joshua Quines, Michael Sun
The concept of metric dimension has applications in a variety of fields, such as chemistry, robotic navigation, and combinatorial optimization. We show bounds for graphs with v…
Low-dimensional representations of the three component loop braid group
Paul Bruillard, Liang Chang, Seung-Moon Hong +3
Motivated by physical and topological applications, we study representations of the group of motions of unlinked oriented circles in . Our point…
Model actions for almost reduced groups on UHF algebras
Michael Sun
For any countable discrete group with a reduced abelian subgroup of finite index, we construct an action of on the universal UHF algebra $\Qq$ using an infinite tensor…
Strongly outer product type actions
Michael Y. Sun
We show that for any countable discrete maximally almost periodic group and any UHF algebra , there exists a strongly outer product type action of on . We also sh…
Existence of the Matui-Sato tracial Rokhlin property
Michael Yuan Sun
We show by construction that when is an elementary amenable group and is a unital simple nuclear and tracially approximately divisible -algebra, there exists an action…
Level-rank duality via tensor categories
Victor Ostrik, Michael Sun
We give a new way to derive branching rules for the conformal embedding $$(\asl_n)_m\oplus(\asl_m)_n\subset(\asl_{nm})_1.$$ In addition, we show that the category $\Cc(\asl_n)_m^0$…
Point stabilisers for the enhanced and exotic nilpotent cones
Michael Yuan Sun
We give a semi-direct product decomposition of the point stabilisers for the enhanced and exotic nilpotent cones. In particular, we arrive at formulas for the number of points in e…