Integral modular data and congruences
- verfasst von
- Michael Cuntz
- Abstract
We compute all fusion algebras with symmetric rational S-matrix up to dimension 12. Only two of them may be used as S-matrices in a modular datum: the S-matrices of the quantum doubles of ℤ/2ℤ and S 3. Almost all of them satisfy a certain congruence which has some interesting implications, for example for their degrees. We also give explicitly an infinite sequence of modular data with rational S- and T-matrices which are neither tensor products of smaller modular data nor S-matrices of quantum doubles of finite groups. For some sequences of finite groups (certain subdirect products of S 3,D 4,Q 8,S 4), we prove the rationality of the S-matrices of their quantum doubles.
- Externe Organisation(en)
-
Technische Universität Kaiserslautern
- Typ
- Artikel
- Journal
- Journal of algebraic combinatorics
- Band
- 29
- Seiten
- 357-387
- Anzahl der Seiten
- 31
- ISSN
- 0925-9899
- Publikationsdatum
- 01.05.2009
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Algebra und Zahlentheorie, Diskrete Mathematik und Kombinatorik
- Elektronische Version(en)
-
https://doi.org/10.1007/s10801-008-0139-y (Zugang:
Offen)
