Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

Reflective centers of module categories and quantum K-matrices

Algebra & Discrete Mathematics

Speaker: Milen Yakimov, Northeastern University
Related Webpage:
Location: 2112 MSB
Start time: Tue, Apr 9 2024, 11:00AM

Braided monoidal categories have applications in various situations, in particular their universal R-matrices give solutions of the quantum Yang-Baxter equation and representations of braid groups of type A. There are powerful methods for constructing them: Drinfeld doubles of Hopf algebras and Drinfeld centers of monoidal categories. On the other hand, universal K-matrices, leading to solutions of the reflection equation and representations of braid groups of type B are much less well understood. We will describe a construction of reflective centers of module categories. It gives rise to braided module categories and a quantum double construction for universal K-matrices. This is a joint work with Robert Laugwitz and Chelsea Walton.