Monstrous moonshine of higher weight

Acta Mathematica

Volumn 185, Issue 1, 2000, Pages 101-121

  Dong, Chongying ^a   Mason, Geoffrey ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002874537     PISSN: 00015962     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02392713     Document Type: Article

References (15)

1. BORCHERDS, R. E., Vertex algebras, Kac-Moody algebras, and the Monster. Proc. Nat. Acad. Sci. U.S.A., 83 (1986), 3068-3071.
2. _ Monstrous moonshine and monstrous Lie superalgebras. Invent. Math., 109 (1992), 405-444.
3. CONWAY, J. H., CURTIS, R. T., NORTON, S. P., PARKER, R. A. & WILSON, R. A., Atlas of Finite Groups. Oxford Univ. Press, Oxford, 1985.
4. CHANDRASEKHARAN, K., Elliptic Functions. Grundlehren Math. Wiss., 281. Springer-Verlag, Berlin New York, 1985.
5. CONWAY, J. H. & NORTON, S. P., Monstrous moonshine. Bull. London Math. Soc., 11 (1979), 308-339.
6. DEVOTO, J., Equivariant elliptic homology and finite groups. Michigan Math. J., 43 (1996), 3-32.
7. DONG, C., LI, H. & MASON, G., Modular invariance of trace functions in orbifold theory and generalized moonshine. To appear in Comm. Math. Phys. (q-alg/9703016).
8. DONG, C. & MASON, G., On quantum Galois theory. Duke Math. J., 86 (1997), 305-321.
9. FRENKEL, I., LEPOWSKY, J. & MEURMAN, A., Vertex Operator Algebras and the Monster. Pure Appl. Math., 134. Academic Press, Boston, MA, 1988.
10. GRIESS, R. L., JR., The friendly giant. Invent. Math., 69 (1982), 1-102.
11. HARADA, K. & LANG, M., Modular forms associated with the Monster module, in The Monster and Lie Algebras (Columbus, OH, 1996), pp. 59-83. Ohio State Univ. Math. Res. Inst. Publ., 7. de Gruyter, Berlin, 1998.
12. HARADA, K. & LANG, M., Modular forms associated with the Monster module, in The Monster and Lie Algebras (Columbus, OH, 1996), pp. 59-83. Ohio State Univ. Math. Res. Inst. Publ., 7. de Gruyter, Berlin, 1998.
13. MASON, G., Frame-shapes and rational characters of finite groups. J. Algebra, 89 (1984), 237-246.
14. SERRE, J.-P., A Course in Arithmetic. Graduate Texts in Math., 7. Springer-Verlag, New York-Heidelberg, 1973.
15. ZHU, Y., Modular invariance of characters of vertex operator algebras. J. Amer. Math. Soc., 9 (1996), 237 302.