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Braid representations

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)

A. V. Kosyak

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)

A. V. Kosyak