Automorphisms of Niemeier lattices for Miyamoto’s Z3-orbifold construction

Motohiro Ishii, Daisuke Sagaki, Hiroki Shimakura

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We classify, up to conjugation, all automorphisms of Niemeier lattices to which we can apply Miyamoto’s orbifold construction. Using this classification, we prove that the VOAs obtained in Miyamoto (Symmetries, integrable systems and representations. Springer proceedings in mathematics and statistics, vol 40. Springer, London, pp 319–344, 2013) and Sagaki and Shimakura (Trans Am Math Soc, to appear) are all of holomorphic non-lattice VOAs which we can obtain by applying the $${\mathbb {Z}}_3$$Z3-orbifold construction to a Niemeier lattice and its automorphism.

Original languageEnglish
Pages (from-to)55-83
Number of pages29
JournalMathematische Zeitschrift
Volume280
Issue number1-2
DOIs
Publication statusPublished - 2015 Jun 1

ASJC Scopus subject areas

  • Mathematics(all)

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