3 papers
math-ph2026
A closed signature formula for the Katz-Long-Moody Hermitian form
Haru Negami
The Katz-Long-Moody construction associates to a representation of the semidirect product of a free group and a braid group, defined by the Artin action, and a nonzero parameter a…
math.RT2026
Hecke algebra representations from the Katz-Long-Moody construction
Haru Negami
We study the Katz-Long-Moody (KLM) construction and classify exactly when the resulting braid group representations factor through Hecke algebras, for scalar braid part and semisim…
math-ph2025
Long-Moody construction of braid group representations and Haraoka's multiplicative middle convolution for KZ-type equations
Haru Negami
We establish a correspondence between the algebraic and analytic approaches to constructing representations of the braid group Bn: the Katz--Long--Moody construction and the multip…