BUBBLES IN THE AFFINE BRAUER AND KAUFFMAN CATEGORIES
Abstract We introduce a generating function approach to the affine Brauer and Kauffman categories, and show how it allows one to efficiently recover important sets of relations in these categories. We use this formalism to deduce restrictions on possible categorical actions and show how this recovers admissibility results that have appeared in the literature on cyclotomic Birman–Murakami–Wenzl (BMW) algebras and their degenerate versions, also known as cyclotomic Nazarov–Wenzl algebras or VW algebras.
Authors
- Ben Webster (ORCID: https://orcid.org/0000-0003-1896-5540)
- Alistair Savage (ORCID: https://orcid.org/0000-0002-2859-0239)
Institutions
- Twitter (United States) (US)
- University of Ottawa (CA)
- Perimeter Institute (CA)
Publication Details
- Journal
- Journal of the Australian Mathematical Society
- Published
- 2025-09-04
- DOI
- https://doi.org/10.1017/s144678872510116x
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Stanley Medical Research Institute
- Innovation, Science and Economic Development Canada
- Government of Canada
- Institut Périmètre de physique théorique
- Natural Sciences and Engineering Research Council of Canada