3 papers
math.QA2025
Division algebras in monoidal categories
Jacob Kesten, Chelsea Walton
This work adapts the equivalent definitions of division algebras over a field into multiple types of division algebras in a monoidal category. Examples and consequences of these de…
math.QA2025
On extended Frobenius structures
Agustina Czenky, Jacob Kesten, Abiel Quinonez +1
A classical result in quantum topology is that oriented 2-dimensional topological quantum field theories (2-TQFTs) are fully classified by commutative Frobenius algebras. In 2006,…
math.QA2025
Nondegenerate module categories
Chelsea Walton, Harshit Yadav
Due to the work of Shimizu (2019), various nondegeneracy conditions for braided finite tensor categories are equivalent. This theory is partially extended to braided module categor…