The Leech lattice and complex hyperbolic reflections

Inventiones Mathematicae

Volumn 140, Issue 2, 2000, Pages 283-301

  Allcock, Daniel ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034349005     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050363     Document Type: Article

References (16)

1. 1. D. J. Allcock. New complex and quaternion-hyperbolic reflection groups. Submitted, 1996. To appear in Duke Math. J.
2. 2. D. J. Allcock. Reflection groups on the octave hyperbolic plane. J. Algebra 213(2):467-498, 1999
3. 3. R. E. Borcherds. The Leech Lattice and Other Latttices. PhD thesis, Cambridge University, 1984
4. 4. R. E. Borcherds. Automorphic forms with singularities on Grassmannians. Invent. math. 132:491-562, 1998
5. 5. J. H. Conway. The automorphism group of the 26-dimensional even unimodular Lorentzian lattice. J. Algebra 80:159-163, 1983. Reprinted in [7]
6. 6. J. H. Conway, R. A. Parker, N. J. A. Sloane. The covering radius of the Leech lattice. Proceedings of the Royal Society of London, A380:261-90, 1982. Reprinted in [7]
7. 7. J. H. Conway, N. J. A. Sloane. Sphere Packings, Lattices, and Groups. Springer-Verlag, 1988.
8. 8. H. S. M. Coxeter. Finite groups generated by unitary reflections. Abh. Math. Sem. Univ. Hamburg 31:125-135, 1967
9. 9. P. Deligne, G. D. Mostow. Monodromy of hypergeometric functions and non-lattice integral monodromy. Pub. I.H.E.S. 63:5-90, 1986
10. 10. W. Feit. Some lattices over Q(√-3). J. Algebra 52:248-263, 1978
11. 11. G. D. Mostow. Generalized Picard lattices arising from half-integral conditions. Pub. I.H.E.S. 63:91-106, 1986
12. 12. G. D. Mostow. On discontinuous action of monodromy groups on the complex n-ball. Jour. A.M.S. 1:555-586, 1988
13. 13. W. P. Thurston. Shapes of polyhedra and triangulations of the sphere. The Epstein Birthday Schrift, 511-549 (electronic). Geom. Topol. Monogr. 1, Geom. Topol., Coventry 1998
14. 14. E. B. Vinberg. Some arithmetical discrete groups in Lobacevskii spaces. In: Discrete Subgroups of Lie Groups and Applications to Moduli, pp. 328-348. Oxford, 1975
15. 2 (4) and its maximal subgroups. J. Algebra 77:449-466, 1982
16. 16. R. A. Wilson. The complex Leech lattice and maximal subgroups of the Suzuki group. J. Algebra 84:151-188, 1983