Classification of 2-reflective hyperbolic lattices of rank 4

A hyperbolic lattice is said to be 2-reflective if its automorphism group contains a subgroup of finite index generated by 2-reflections. We determine all 2-reflective hyperbolic lattices of rank 4. (For all other values of the rank, this was done by V. V. Nikulin.)

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Bibliographic Details
Published in:Transactions of the Moscow Mathematical Society 2007-10, Vol.68, p.39-66
Main Author: Vinberg, E. B.
Format: Article
Language:English
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Summary:A hyperbolic lattice is said to be 2-reflective if its automorphism group contains a subgroup of finite index generated by 2-reflections. We determine all 2-reflective hyperbolic lattices of rank 4. (For all other values of the rank, this was done by V. V. Nikulin.)
ISSN:0077-1554
1547-738X
DOI:10.1090/S0077-1554-07-00160-4