3 papers
math.QA2026
Frobenius subalgebra lattices in tensor categories
Mainak Ghosh, Sebastien Palcoux
This paper generalizes Watatani's finiteness theorem for intermediate subfactors to a wide class of monoidal categories. We characterize the sublattices of Frobenius subalgebra pos…
math.QA2025
Exchange relations and Frobenius subalgebras
Mainak Ghosh, Sebastien Palcoux
Bisch and Jones established a bijection between the intermediate subfactors of an irreducible subfactor and certain idempotents satisfying exchange relations. In this paper, we gen…
math.QA2024
Positivstellensatz for C*-tensor categories
Kajal Das, Mainak Ghosh, Shamindra Ghosh
We explore semi-pre-C*-algebras in the context of rigid semisimple C*-tensor categories and using techniques from annular representations, we extend Ozawa's criterion for property…