Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Classification of module categories for SO(3)_{2m}

Evans, David E. and Pugh, Mathew 2021. Classification of module categories for SO(3)_{2m}. Advances in Mathematics 384 , 107713. 10.1016/j.aim.2021.107713

[thumbnail of SO3_mod_cat-Adv_revision.pdf] PDF - Accepted Post-Print Version
Available under License Creative Commons Attribution Non-commercial No Derivatives.

Download (1MB)

Abstract

The main goal of this paper is to classify ⁎-module categories for the modular tensor category. This is done by classifying nimrep graphs and cell systems, and in the process we also classify the modular invariants. There are module categories of type , and their conjugates, but there are no orbifold (or type ) module categories. We present a construction of a subfactor with principal graph given by the fusion rules of the fundamental generator of the modular category. We also introduce a Frobenius algebra A which is an generalisation of (higher) preprojective algebras, and derive a finite resolution of A as a left A-module along with its Hilbert series.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Publisher: Elsevier
ISSN: 0001-8708
Date of First Compliant Deposit: 8 March 2021
Date of Acceptance: 2 March 2021
Last Modified: 14 May 2022 15:23
URI: https://orca.cardiff.ac.uk/id/eprint/139373

Citation Data

Cited 1 time in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item

Downloads

Downloads per month over past year

View more statistics