Le module du «Moonshine»

Jacques Tits

Séminaire Bourbaki (1986-1987)

  • Volume: 29, page 285-303
  • ISSN: 0303-1179

How to cite

top

Tits, Jacques. "Le module du «Moonshine»." Séminaire Bourbaki 29 (1986-1987): 285-303. <http://eudml.org/doc/110084>.

@article{Tits1986-1987,
author = {Tits, Jacques},
journal = {Séminaire Bourbaki},
keywords = {existence of Monster simple group; graded module; conjugacy; classes; modular invariants; elliptic modular functions},
language = {fre},
pages = {285-303},
publisher = {Société Mathématique de France},
title = {Le module du «Moonshine»},
url = {http://eudml.org/doc/110084},
volume = {29},
year = {1986-1987},
}

TY - JOUR
AU - Tits, Jacques
TI - Le module du «Moonshine»
JO - Séminaire Bourbaki
PY - 1986-1987
PB - Société Mathématique de France
VL - 29
SP - 285
EP - 303
LA - fre
KW - existence of Monster simple group; graded module; conjugacy; classes; modular invariants; elliptic modular functions
UR - http://eudml.org/doc/110084
ER -

References

top
  1. [ATLAS] Atlas of finite groups, by J.H. Conway, R.T. Curtis, S.P. Norton, R.A. Parker and R.A. Wilson - Clarendon Press, Oxford, 1985. Zbl0568.20001
  2. [Bo] R.E. Borchepds - Vertex algebras, Kac-Moody algebras and the Monster, Proc. Nat. Acad. Sci. USA, 83 (1956), 3068-3071. Zbl0613.17012MR843307
  3. [Br] M. Broué - Groupes finis, séries formelles et fonctions modulaires, in Séminaire sur les Groupes finis, Tome 1, Publ. Math. Univ. Paris VII, 1983, 105-127. Zbl0554.20001
  4. [Co] J.H. Conway - A simple construction for the Fischer - Griess monster group, Invent. Math.79 (1985), 513-540. Zbl0564.20010MR782233
  5. [CN] J.H. Conway and S.P. Norion - Monstrous Moonshine, Bull. London Math. Soc., 11 (1979), 308-339. Zbl0424.20010MR554399
  6. [FH] I.B. Frenkel and V.G. Kac - Basic representations of affine Lie algebras and dual resonance models, Invent. Math.62 (1980), 23-66. Zbl0493.17010MR595581
  7. [FLM 1] I.B. Frenkel, J. Lepowsky and A. Meurman - A natural representation of the Fischer - Griess Monster with the modular function J as character, Proc. Nat. Acad. Sci. USA81 (1984), 3256-3260. Zbl0543.20016MR747596
  8. [FLM 2] I.B. Frenkel, J. Lepowsky and A. Meurman - A Moonshine module for the Monster, [VO] (référence ci-dessous), 231-273. Zbl0556.17008MR781381
  9. [FLM 3] I.B. Frenkel, J. Lepowsky and A. Meurman - A book on affine Lie algebras, vertex operators representations and the Moonshine, en préparation. 
  10. [Fo] P. Fong - Characters arising in the monster-modular connection, in The Santa Cruz conference on Finite Groups, Proc. Symp. Pure Math. A.M.S., 37 (1980), 557-559. Zbl0448.20019MR604633
  11. [Gr] R.L. Griess Jr. - The friendly giant, Invent. Math.69 (1982), 1-102. Zbl0498.20013MR671653
  12. [KP] V.G. Kac and D.H. Peterson - 112 constructions of the basic representations of the loop group of E8 , in Proc. Symposium on Anomalies, Geometry, Topology, Singapore 1985, ed. W.A. Bardeen and A.R. White, 276-298. Zbl0642.17013MR850863
  13. [Le] J. Lepowsky - Calculus of twisted vertex operators, Proc. Nat. Acad. Sci. USA82 (1985), 8295-8299. Zbl0579.17010MR820716
  14. [LW] J. Lepomsky and R.L. Wilson - Construction of the affine Lie algebra A(1)1, Comm. Math. Phys.62 (1978) , 43-53. Zbl0388.17006MR573075
  15. [Se] G. Segal - Unitary repres entations of some infinite-dimensional groups, Comm. Math. Phys.80 (1981), 301-342. Zbl0495.22017MR626704
  16. [Ti 1] J. Tits - Le Monstre (d'après R. Griess, B. Fischer et al.), Sém. Bourbaki, exposé n° 620, novembre 1983, Astérisque121-122 (1985), 105-122. Zbl0548.20010MR768956
  17. [Ti 2] J. Tits - Résumé de cours, Annuaire du Collège de France, 86e année (1985-1986), 101-112. MR965793
  18. [VO] Vertex operators in mathematics and physics, edited by J. Lepowsky, S. Mandelstam and I.M. Singer, Math. Sci. Res. Inst. Publications n° 3, Springer-Verlag, 1985. Zbl0556.17001MR781369

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.