Constructing unitary representation of braid group
Organizers
Speaker
Haru Negami
Time
Friday, May 9, 2025 1:00 PM - 2:30 PM
Venue
A3-4-301
Online
Zoom 242 742 6089
(BIMSA)
Abstract
This work establishes a correspondence between the multiplicative middle convolution of Knizhnik-Zamolodchikov (KZ)-type equations, an integral transformation that reproduces the KZ-type equation, and the Katz-Long-Moody construction, an algebraic method for constructing representations of the braid group B_n. Besides, we show that the Katz-Long-Moody construction preserves unitarity.