19 citations · 42 across the 6 of their papers we have counts for
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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…
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…
Webs and -Howe dualities in types
Antonio Sartori, Daniel Tubbenhauer
We define web categories describing intertwiners for the orthogonal and symplectic Lie algebras, and, in the quantized setup, for certain orthogonal and symplectic coideal subalgeb…