Invertible exterior powers
Abstract We present a proof of the fact that in a symmetric monoidal category over a field of characteristic zero, objects with an invertible exterior power are rigid. As an application we prove two recent conjectures on dimensions in symmetric monoidal categories by Baez, Moeller and Trimble and further conjectures by Baez and Trimble.
Authors
- Kevin Coulembier (ORCID: https://orcid.org/0000-0003-0996-3965)
Institutions
- The University of Sydney (AU)
Publication Details
- Journal
- Algebras and Representation Theory
- Published
- 2026-03-09
- DOI
- https://doi.org/10.1007/s10468-025-10374-1
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00