3 papers
math.QA2024
Quantum Sets of Compact Quantum Groups
Mainak Ghosh
Q-system completion can be thought of as a notion of higher idempotent completion of C*-2-categories. We introduce a notion of quantum bi-elements, and study Q-system completion in…
math.QA2023
Q-system Completion of 2-functors
Mainak Ghosh
A Q-system is a unitary version of a separable Frobenius algebra object in a C*-tensor category or a C*-2-category. We prove that, for C*-2-categories $\mcal C$ and $\mcal D$, the…
math.QA2023
Q-system Completeness of Unitary Connections
Mainak Ghosh
A Q-system is a unitary version of a separable Frobenius algebra object in a C*-tensor category. In a recent joint work with P. Das, S. Ghosh and C. Jones, the author has categorif…