Spectral measures associated to rank two Lie groups and finite subgroups of GL(2,Z)

Evans, David E. and Pugh, Mathew . ORCID: https://orcid.org/0000-0001-9045-3713 2016. Spectral measures associated to rank two Lie groups and finite subgroups of GL(2,Z). Communications in Mathematical Physics 343 , pp. 811-850. 10.1007/s00220-015-2434-5

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Abstract

Spectral measures for fundamental representations of the rank two Lie groups A2, C2 and G2 have been studied. Since these groups have rank two, these spectral measures can be defined as measures over their maximal torus T2 and are invariant under an action of the corresponding Weyl group, which are all subgroups of GL(2,Z). Here we consider spectral measures invariant under an action of the other finite subgroups of GL(2,Z), which are all associated fundamental representations of other rank two Lie groups.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Springer Verlag
ISSN:	0010-3616
Funders:	Coleg Cymraeg Cenedlaethol
Date of First Compliant Deposit:	30 March 2016
Date of Acceptance:	19 March 2015
Last Modified:	24 Nov 2024 21:15
URI:	https://orca.cardiff.ac.uk/id/eprint/58822

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