TY - JOUR
T1 - Automorphisms of Niemeier lattices for Miyamoto’s Z3-orbifold construction
AU - Ishii, Motohiro
AU - Sagaki, Daisuke
AU - Shimakura, Hiroki
N1 - Publisher Copyright:
© 2015, Springer-Verlag Berlin Heidelberg.
Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 2015/6/1
Y1 - 2015/6/1
N2 - 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.
AB - 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.
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U2 - 10.1007/s00209-015-1413-z
DO - 10.1007/s00209-015-1413-z
M3 - Article
AN - SCOPUS:84939958816
VL - 280
SP - 55
EP - 83
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
SN - 0025-5874
IS - 1-2
ER -