Réseaux unimodulaires quaternioniens en dimension ≤ 32

Renaud Coulangeon

Acta Arithmetica (1995)

  • Volume: 70, Issue: 1, page 9-24
  • ISSN: 0065-1036

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Renaud Coulangeon. "Réseaux unimodulaires quaternioniens en dimension ≤ 32." Acta Arithmetica 70.1 (1995): 9-24. <http://eudml.org/doc/206740>.

@article{RenaudCoulangeon1995,
author = {Renaud Coulangeon},
journal = {Acta Arithmetica},
keywords = {neighbour lattices; mass formula; unimodular lattices over a maximal order; quaternions},
language = {fre},
number = {1},
pages = {9-24},
title = {Réseaux unimodulaires quaternioniens en dimension ≤ 32},
url = {http://eudml.org/doc/206740},
volume = {70},
year = {1995},
}

TY - JOUR
AU - Renaud Coulangeon
TI - Réseaux unimodulaires quaternioniens en dimension ≤ 32
JO - Acta Arithmetica
PY - 1995
VL - 70
IS - 1
SP - 9
EP - 24
LA - fre
KW - neighbour lattices; mass formula; unimodular lattices over a maximal order; quaternions
UR - http://eudml.org/doc/206740
ER -

References

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  1. [B] C. Bachoc, Voisinages au sens de Kneser pour les réseaux hermitiens, en préparation. 
  2. [A] J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, Atlas of Finite Groups, Oxford Univ. Press, Oxford, 1985. Zbl0568.20001
  3. [C] R. Coulangeon, Réseaux quaternioniens et invariant de Venkov, à paraître. Zbl0797.11041
  4. [H] K. Hashimoto, On Brandt matrices associated with the positive definite quaternion hermitian forms, J. Fac. Sci. Univ. Tokyo 1 (1980), 227-245. Zbl0433.10017
  5. [K] M. Kneser, Klassenzahlen definiter quadratischer Formen, Arch. Math. (Basel) 8 (1957), 241-250. Zbl0078.03801
  6. [M] J. Martinet, Structures algébriques sur les réseaux, Séminaire de Théorie des Nombres de Paris (1993), en préparation. 
  7. [Nie] H.-V. Niemeier, Definite quadratischen Formen der Discriminante 1 und der Dimension 24, J. Number Theory 5 (1973), 141-178. 
  8. [O'M] O. T. O'Meara, Introduction to Quadratic Forms, Grundlehren Math. Wiss. 117, Springer, Heidelberg, 1963. 
  9. [Q] H. G. Quebbemann, An application of Siegel's formula over quaternions orders, Mathematika 31 (1984), 12-16.. Zbl0538.10027
  10. [S] J.-P. Serre, Cours d'arithmétique, PUF, Paris, 1970. 
  11. [Sie] C. L. Siegel, Gesammelte Abhandlungen, I n° 20 et III n° 79, Springer, 1966. 
  12. [T] J. Tits, Quaternions over ℚ (√5), Leech's lattice and the sporadic group of Hall-Janko, J. Algebra 63 (1980), 56-75. Zbl0436.20004
  13. [V] M.-F. Vignéras, Arithmétique des algèbres de quaternions, Lecture Notes in Math. 800, Springer, 1980. Zbl0422.12008

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