Fetching the paper…
Reading the bibliography…
An even unimodular 72-dimensional lattice $\Gamma $ having minimum 8 is constructed as a tensor product of the Barnes lattice and the Leech lattice over the ring of integers in the imaginary quadratic number field with discriminant $-7$.
M. Kneser, Klassenzahlen definiter quadratischer Formen. Archiv der Math. 8 (1957) 241-250
1957
Earlier work this paper cites.
C.L. Siegel, Berechnung von Zetafunktionen an ganzzahligen Stellen. Göttinger Nach. 10 (1969) 87-102
1969
Earlier work this paper cites.
C. L. Mallows, A. M. Odlyzko and N. J. A. Sloane, Upper Bounds for Modular Forms, Lattices, and Codes. J. Algebra 36 (1975) 68-76
1975
Earlier work this paper cites.
N. J. A. Sloane, Binary Codes, Lattices, and Sphere-Packings. in Combinatorial Surveys: Proceedings of the Sixth British Combinatorial Conference
1977
Earlier work this paper cites.
H.-G. Quebbemann, A construction of integral lattices. Mathematika, 31 (1984) 137-140
1984
Earlier work this paper cites.
B. Gross, Group representations and lattices. J. Amer. Math. Soc. 3 (1990) 929-960
1990
Earlier work this paper cites.
J.H. Conway, N.J.A. Sloane, Sphere packings, lattices and groups
1993
Earlier work this paper cites.
B. Gross, N. Elkies, The exceptional cone and the Leech lattice, Int. Math. Res. Notices 14 (1996) 665-698
1996
Cited alongside, same era.
W. Bosma, J. Cannon, C. Playoust, The Magma algebra system. I. The user language. J. Symbolic Comput., 24(3-4):235-265, 1997
1997
Cited alongside, same era.
G. Nebe, The normaliser action and strongly modular lattices. L’Ens. Math., 43 (1997) 67-76
1997
Cited alongside, same era.
Christine Bachoc, Gabriele Nebe, Extremal lattices of minimum 8 related to the Mathieu group M 22 M_{22} . J. reine angew. Math. 494 (1998) 155-171
1998
Cited alongside, same era.
G. Nebe, Some cyclo-quaternionic lattices, J. Alg. 199 (1998) 472-498
1998
Cited alongside, same era.
G. Nebe, Finite quaternionic matrix groups. Represent. Theory 2 (1998) 106-223
R. Scharlau, R. Schulze-Pillot, Extremal lattices. Algorithmic algebra and number theory (Heidelberg, 1997), Springer (1999) 139-170
1999
Later among the works it cites.
B.B. Venkov, Réseaux et designs sphériques, Monogr. Ens. Math. vol. 37, (2001) 10-86
2001
Later among the works it cites.
Eva Bayer-Fluckiger, Ideal lattices. Proc. of the conference in honor of Alan Baker, Number Theory and Diophantine Geometry, Cambridge Univ. Press (2002) 168-184
2002
Later among the works it cites.
M. Hentschel, On Hermitian theta series and modular forms. Thesis RWTH Aachen 2009
2009
Later among the works it cites.
M. Kirschmer, Finite symplectic matrix groups. Thesis RWTH Aachen 2009, Exp. Math. (to appear)
2009
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
1998
Cited alongside, same era.
G. Nebe, Construction and investigation of lattices with matrix groups. in Integral Quadratic Forms and Lattices
1999
Cited alongside, same era.
Robert L. Griess Jr., Rank 72 high minimum norm lattices. J. Number Theory 130 (2010) 1512-1519
2010
Closest in time.
D. Stehlé, M. Watkins, On the Extremality of an 80-Dimensional Lattice. ANTS 2010: 340-356
2010
Closest in time.