MetaCartSign in to MyCiteSeer

Include Citations | Advanced Search | Help

Include Citations | Advanced Search | Help

  Some cyclo-quaternionic lattices (1998) [9 citations — 2 self]

Download:
pdf | ps
by Gabriele Nebe, Lehrstuhl B Fur Mathematik, Rwth Aachen, D- Aachen
J. Algebra
http://www-math.math.rwth-aachen.de/~LBFM/gabi/papers/cycloquat.ps
Add To MetaCart

Abstract:

The faithful lattices of rank 2(p \Gamma 1) of the groups SL 2 (p) are described. For small primes p these and related lattices are investigated by computer. In particular a new extremal even unimodular lattice of rank 48 is constructed. Introduction. The study of finite integral matrix groups is one source for producing nice lattices. In particular representations of the group PSL 2 (p) for p j 3 (mod 4) have been studied in [10] in connection with globally irreducible representations.

Citations

203 Sphere Packings, Lattices and Groups – Conway, Sloane - 1999
36 Arithmétique des algèbres de quaternions – Vignéras - 1980
35 Methods of representation theory with applications to finite groups and orders, I – CURTIS, REINER - 1981
32 The representation theory of finite groups – Feit - 1982
31 Modular lattices in Euclidean spaces – Quebbemann - 1995
15 Untersuchungen uber die Darstellungen der endlichen Gruppen durch gebrochene lineare Substitutionen – Schur - 1907
14 Computing isometries of lattices – Plesken, Souvignier - 1985
13 The minimum values of positive quadratic forms in six, seven and eight variables – Blichfeldt - 1935
10 Group representations and lattices – Gross - 1990
8 Definite unimodular lattices having an automorphism of given characteristic polynomial – Bayer-Fluckiger - 1984
7 Finite rational matrix groups of degree 16 – Nebe, Plesken - 1995
6 Group rings of finite groups over the p-adic integers – Plesken - 1983
5 Group representation theory – Dornhoff - 1971
4 Die Zerlegungsmatrizen der Gruppen PSL(2; p f – Burkhardt - 1976
4 Etude exp'erimentale et algorithmique des r'eseaux euclidiens – Napias - 1996
3 The computations of some Schur indices – Feit - 1983
2 Etude Algorithmique de R'eseaux Construits avec la Forme – Bachoc, Batut - 1992
2 Finite quaternionic matrix groups, (submitted – Nebe
2 Quadratic and Hermitian Forms", Grundlehren der mathematischen Wissenschaften 270, Springer-Verlag – Scharlau - 1985
2 Mordell-Weil lattices and sphere – Shioda - 1991
1 Introduction to Modular Forms", Grundlehren der mathematischen Wissenschaften 222, Springer-Verlag – Lang - 1976
1 Finite rational matrix groups", AMS-Memoirs – Plesken, Nebe - 1995
1 Mordell-Weil lattices and Galois Representations – Shioda - 1989
1 Globally Irreducible Representations of Finite Groups and Integral Lattices Geometriae Dedicata 64 – Tiep - 1997
1 Introduction to Cyclotomic Fields", Springer Graduate Texts – Washington - 1982