24 citations · 29 across the 17 of their papers we have counts for
5 papers · 1 filter
On the structure and representation theory of -deformed Clifford algebras
Willie Aboumrad, Travis Scrimshaw
We provide a generalized definition for the quantized Clifford algebra introduced by Hayashi using another parameter that we call the twist. For a field of characteristic not e…
The ribbon category framework for topological quantum computing
Willie Aboumrad
This expository article supplies the mathematical background underpinning the braid representation calculator introduced in arXiv:2212.00831; those representations describe the set…
Quantum computing with anyons: an -matrix and braid calculator
Willie Aboumrad
We introduce a pentagon equation solver, available as part of SageMath, and use it to construct braid group representations associated to certain anyon systems. We recall the categ…
Skew Howe duality for Types via -Clifford algebras
Willie Aboumrad
We extend a quantized skew Howe duality result for Type algebras to orthogonal types via a seesaw. We develop an operator commutant version of the First Fundamental Th…
Skew Howe duality for via quantized Clifford algebras
Willie Aboumrad
We develop an operator commutant version of the First Fundamental Theorem of invariant theory for the general linear quantum group by using a double centrali…