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Representation theory
We showed that the Lawrence–Krammer representation arises as a q-deformation of the symmetric square of the Burau representation.
The Lawrence-Krammer representation is a quantization of the symmetric square of the Burau representation
In press Linear Algebra and its Applications (2025)
We show that the Lawrence-Krammer representation can be obtained as the quantization of the symmetric square of the Burau representation. This connection allows us to construct new representations of braid groups
In press Linear Algebra and its Applications (2025)