|
$G$-elliptic systems and the genus zero problem for $M_24$
Author:
Geoffrey Mason
Journal:
Bull. Amer. Math. Soc. 25 (1991), 45-53
MSC (1985):
Primary 11F22; Secondary 11F25, 20D08, 81R05
MathSciNet review:
1080615
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
Richard
E. Borcherds, Vertex algebras, Kac-Moody algebras, and the
Monster, Proc. Nat. Acad. Sci. U.S.A. 83 (1986),
no. 10, 3068–3071. MR 843307
(87m:17033), http://dx.doi.org/10.1073/pnas.83.10.3068
- 2.
Richard
E. Borcherds, Introduction to the Monster Lie algebra, Groups,
combinatorics & geometry (Durham, 1990) London Math. Soc. Lecture
Note Ser., vol. 165, Cambridge Univ. Press, Cambridge, 1992,
pp. 99–107. MR 1200253
(94h:11043), http://dx.doi.org/10.1017/CBO9780511629259.011
- 3.
J.
H. Conway and S.
P. Norton, Monstrous moonshine, Bull. London Math. Soc.
11 (1979), no. 3, 308–339. MR 554399
(81j:20028), http://dx.doi.org/10.1112/blms/11.3.308
- 4.
Robbert
Dijkgraaf, Cumrun
Vafa, Erik
Verlinde, and Herman
Verlinde, The operator algebra of orbifold models, Comm. Math.
Phys. 123 (1989), no. 3, 485–526. MR 1003430
(91c:81132)
- 5.
L.
Dixon, P.
Ginsparg, and J.
Harvey, Beauty and the beast: superconformal symmetry in a Monster
module, Comm. Math. Phys. 119 (1988), no. 2,
221–241. MR
968697 (90b:81119)
- 6.
M. Eichler and D. Zagier, Introduction to Jacobi Forms, Birkhäuser, Boston, 1986.
- 7.
Igor
Frenkel, James
Lepowsky, and Arne
Meurman, Vertex operator algebras and the Monster, Pure and
Applied Mathematics, vol. 134, Academic Press Inc., Boston, MA, 1988.
MR 996026
(90h:17026)
- 8.
D.
Gorenstein, Konechnye prostye gruppy, “Mir”,
Moscow, 1985 (Russian). Vvedenie v ikh klassifikatsiyu. [An introduction to
their classification]; Translated from the English by V. I. Loginov;
Translation edited and with a preface by A. I. Kostrikin. MR 813504
(86j:20001)
- 9.
Geoffrey
Mason, Remarks on moonshine and orbifolds, Groups,
combinatorics & geometry (Durham, 1990) London Math. Soc. Lecture
Note Ser., vol. 165, Cambridge Univ. Press, Cambridge, 1992,
pp. 108–120. MR 1200254
(93m:11034), http://dx.doi.org/10.1017/CBO9780511629259.012
- 10.
Geoffrey
Mason, Elliptic systems and the eta-function, Notas Soc. Mat.
Chile 8 (1989), no. 1, 37–53. MR 1051836
(92b:11026)
- 11.
Geoffrey
Mason, Finite groups and Hecke operators, Math. Ann.
283 (1989), no. 3, 381–409. MR 985239
(90k:11052), http://dx.doi.org/10.1007/BF01442736
- 12.
Geoffrey
Mason, Finite groups and modular functions, The Arcata
Conference on Representations of Finite Groups (Arcata, Calif., 1986),
Proc. Sympos. Pure Math., vol. 47, Amer. Math. Soc., Providence, RI,
1987, pp. 181–210. With an appendix by S. P. Norton. MR 933359
(89c:11066)
- 13.
J.
G. Thompson, Finite groups and modular functions, Bull. London
Math. Soc. 11 (1979), no. 3, 347–351. MR 554401
(81j:20029), http://dx.doi.org/10.1112/blms/11.3.347
- 14.
Michael
P. Tuite, Monstrous Moonshine from orbifolds, Comm. Math.
Phys. 146 (1992), no. 2, 277–309. MR 1165184
(93f:11036)
- 1.
- R. Borcherds, Vertex algebras, Kac-Moody algebras and the Monster, Proc. Nat. Acad. Sci. 83 (1986), 3068-3071. MR 843307
- 2.
- R. Borcherds, preprint, Cambs. Univ. DPMMS (1990). MR 1200253
- 3.
- J. Conway and S. Norton, Monstrous moonshine, Bull. London Math. Soc. 11 (1979), 303-339. MR 554399
- 4.
- R. Dijkgraaf, C. Vafa, E. Verlinde, and H. Verlinde, The operator algebra of orbifold models, Comm. Math. Phys. 123 (1989), 485-526. MR 1003430
- 5.
- L. Dixon, P. Ginsparg, and J. Harvey, Beauty and the Beast: Superconformal symmetry in a Monster module, Comm. Math. Phys. 119 (1988), 221-241. MR 968697
- 6.
- M. Eichler and D. Zagier, Introduction to Jacobi Forms, Birkhäuser, Boston, 1986.
- 7.
- I. Frenkel, J. Lepowsky, and A. Meurman, Vertex operator algebras and the Monster, Academic Press, New York, 1988. MR 996026
- 8.
- D. Gorenstein, Finite simple groups, Plenum, New York, 1985. MR 813504
- 9.
- G. Mason, Remarks on moonshine and orbifolds, Proc. London Math. Soc. Conf., Durham (1990) (to appear). MR 1200254
- 10.
- G. Mason, Elliptic systems and the eta-function, Notas Soc. Mat. Chile 8 (1989), 37-53. MR 1051836
- 11.
- G. Mason, Finite groups and Hecke operators, Math. Ann. 283 (1989), 381-409. MR 985239
- 12.
- G. Mason, Finite groups and modular functions, Proc. Sympos. Pure Math., vol. 47, Amer. Math. Soc., Providence, RI, 1987. MR 933359
- 13.
- J. Thompson, Finite groups and modular functions, Bull. London Math. Soc. 11 (1979). MR 554401
- 14.
- M. Tuite, Monstrous moonshine from orbifolds, preprint, Dublin Inst. for Adv. Studies. (1990). MR 1165184
Similar Articles
Retrieve articles in Bulletin of the American Mathematical Society
with MSC (1985):
11F22,
11F25,
20D08,
81R05
Retrieve articles in all journals
with MSC (1985):
11F22,
11F25,
20D08,
81R05
Additional Information
DOI:
http://dx.doi.org/10.1090/S0273-0979-1991-16021-0
PII:
S 0273-0979(1991)16021-0
|