Spectral Measures for $Sp(2)$

David E. Evans; Mathew Pugh

Spectral Measures for $Sp(2)$

Operator Algebras 2015-02-16 v2 High Energy Physics - Theory Mathematical Physics math.MP

Authors: David E. Evans , Mathew Pugh

Abstract

Spectral measures provide invariants for braided subfactors via fusion modules. In this paper we study joint spectral measures associated to the compact connected rank two Lie group $SO(5)$ and its double cover the compact connected, simply-connected rank two Lie group $Sp(2)$ , including the McKay graphs for the irreducible representations of $Sp(2)$ and $SO(5)$ and their maximal tori, and fusion modules associated to the $Sp(2)$ modular invariants.

Keywords

spectral theory spectral sequences invariant theory

Cite

@article{arxiv.1404.1912,
  title  = {Spectral Measures for $Sp(2)$},
  author = {David E. Evans and Mathew Pugh},
  journal= {arXiv preprint arXiv:1404.1912},
  year   = {2015}
}

Comments

41 pages, 45 figures. Title changed and notation corrected. arXiv admin note: substantial text overlap with arXiv:1404.1863

Spectral Measures for $Sp(2)$

Abstract

Keywords

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