Möbius Strip Diagram Algebras

arXiv (Cornell University) 2026 Preprint Open access

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Authors: D. W. Collison, Daniel Tubbenhauer
DOI: 10.48550/arxiv.2602.11591
Cited by: 0

Abstract

We introduce Möbius strip diagram algebras (and their monoid and categorical versions) as subalgebras of a partition-style diagram calculus in which strands may carry handles and Möbius strip features. We identify the resulting diagram category with a linear quotient of a nonorientable two-dimensional cobordism category. Finally, we develop the associated cell theory and use it to classify the simple modules and compute dimensions in a range of cases.

Fields of Study & Subjects

Algebraic structures and combinatorial models Advanced Combinatorial Mathematics Advanced Topics in Algebra

Publication details

Journal / source
arXiv (Cornell University)
Publication date
12 February 2026
Language
EN
Document type
Preprint