Spectral measures and generating series for Nimrep graphs in subfactor theory

Evans, David E. and Pugh, Mathew J. ORCID: https://orcid.org/0000-0001-9045-3713 2010. Spectral measures and generating series for Nimrep graphs in subfactor theory. Communications in Mathematical Physics 295 (2) , pp. 363-413. 10.1007/s00220-009-0902-5

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Abstract

We determine spectral measures for some nimrep graphs arising in subfactor theory, particularly those associated with SU(3) modular invariants. Our methods also give an alternative approach to deriving the results of Banica and Bisch for ADE graphs and subgroups of SU(2) and explain the connection between their results for affine ADE graphs and the Kostant polynomials. We also look at the Hilbert generating series of associated pre-projective algebras.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Springer
ISSN:	0010-3616
Last Modified:	05 May 2023 23:35
URI:	https://orca.cardiff.ac.uk/id/eprint/11930

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