4 papers
Diagrammatics for dicyclic groups
Peter DeBello, Daniel Tubbenhauer
Using that the dicyclic group is the type D subgroup of SU(2), we extend the Temperley-Lieb diagrammatics to give a diagrammatic presentation of the complex representation theory o…
On knot detection via picture recognition
Anne Dranowski, Yura Kabkov, Daniel Tubbenhauer
Our goal is to one day take a photo of a knot and have a phone automatically recognize it. In this expository work, we explain a strategy to approximate this goal, using a mixture…
Orthogonal webs and semisimplification
Elijah Bodish, Daniel Tubbenhauer
We define a diagrammatic category that is equivalent to tilting representations for the orthogonal group. Our construction works in characteristic not equal to two. We also describ…
On a symplectic quantum Howe duality
Elijah Bodish, Daniel Tubbenhauer
We prove a nonsemisimple quantum version of Howe's duality with the rank 2n symplectic and the rank 2 special linear group acting on the exterior algebra of type C. We also discuss…