TY - JOUR
T1 - Automorphisms of Niemeier lattices for Miyamoto’s Z3-orbifold construction
AU - Ishii, Motohiro
AU - Sagaki, Daisuke
AU - Shimakura, Hiroki
N1 - Funding Information:
Motohiro Ishii was partially supported by the Japan Society for the Promotion of Science Research Fellowships for Young Scientists, and by Grant-in-Aid for Research Activity Start-up No. 26887002, Japan.
Funding Information:
Hiroki Shimakura was partially supported by Grant-in-Aid for Scientific Research (C) No. 23540013, Japan, by Grant-in-Aid for Young Scientists (B) No. 26800001, Japan, and by Grant for Basic Science Research Projects from The Sumitomo Foundation.
Publisher Copyright:
© 2015, Springer-Verlag Berlin Heidelberg.
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 -