Please email any additional references or corrections
to
cummins@alcor.concordia.ca, thanks.
Apologies for not updating this list since 1997!
Akbas, M.; Singerman, D. The signature of the normalizer of $\Gamma\sb 0(N)$.
Groups, combinatorics & geometry (Durham, 1990), 77-86, London Math. Soc. Lecture Note Ser., 165, Cambridge Univ. Press, Cambridge, 1992.
Alexander D, Cummins C J, McKay J and Simons C Completely replicable functions
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Borcherds R E Generalized Kac-Moody algebras
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Borcherds, Richard E. Introduction to the Monster Lie algebra.
Groups, combinatorics & geometry (Durham, 1990), 99-107, London Math. Soc. Lecture Note Ser., 165, Cambridge Univ. Press, Cambridge, 1992.
R.E. Borcherds and A. J. E. Ryba Modular Moonshine II
Duke Math. J. 83, 435-459 1996
I. Chen and N. Yui Singular values of Thompson series
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H. Cohn and J. McKay Spontaneous generation of modular invariants
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Conway, John H.; Hsu, Tim Quilts and $T$-systems.
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Cummins, C. J. Some comments on replicable functions.
Modern trends in Lie algebra representation theory (Kingston, ON, 1993), 48-55, Queen's Papers in Pure and Appl. Math., 94, Queen's Univ., Kingston, ON, 1994.
Cummins C J and Gannon T Modular equations and the genus zero property of Moonshine
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Cummins C J and Norton S P Rational Hauptmoduls are replicable
Can. J. Math. 47, 1201-1218 1995.
Dixon L, Ginsparg P and Harvey J Beauty and the Beast: Superconformal Symmetry
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Dolan, L. Superstring twisted conformal field theory.
Moonshine, the Monster, and related topics (South Hadley, MA, 1994), 9-24, Contemp. Math., 193, Amer. Math. Soc., Providence, RI, 1996.
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Algebraic groups and their generalizations: quantum and infinite-dimensional methods (University Park, PA, 1991), 295-316, Proc. Sympos. Pure Math., 56, Part 2, Amer. Math. Soc., Providence, RI, 1994.
Dong, Chongying; Lepowsky, James Generalized vertex algebras and relative vertex operators.
Progress in Mathematics, 112. BirkhŠuser Boston, Inc., Boston, MA, 1993. ISBN: 0-8176-3721-4
Dong, Chongying Representations of the moonshine module vertex operator algebra.
Mathematical aspects of conformal and topological field theories and quantum groups (South Hadley, MA, 1992), 27-36, Contemp. Math., 175, Amer. Math. Soc., Providence, RI, 1994.
Dong, Chongying; Mason, Geoffrey An orbifold theory of genus zero associated to the sporadic group $M\sb {24}$.
Comm. Math. Phys. 164, no. 1, 87-104 1994.
Dong, Chongying; Mason, Geoffrey Vertex operator algebras and Moonshine: a survey.
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Dong, Chongying; Li, Haisheng; Mason, Geoffrey Some twisted sectors for the Moonshine module.
Moonshine, the Monster, and related topics (South Hadley, MA, 1994), 25-43, Contemp. Math., 193, Amer. Math. Soc., Providence, RI, 1996.
Dong, Chongying Introduction to vertex operator algebras. I.
Moonshine and vertex operator algebra (Japanese) (Kyoto, 1994). S\=urikaisekikenky\=usho K\=oky\=uroku No. 904 1995, 1-25.
Feingold, Alex J.; Ries, John F. X.; Weiner, Michael D. Spinor construction of the $c=\frac12$ minimal model.
Moonshine, the Monster, and related topics (South Hadley, MA, 1994), 45-92, Contemp. Math., 193, Amer. Math. Soc., Providence, RI, 1996.
Ferenbaugh C R On the Modular Functions involved in ``Monstrous Moonshine''
Ph.D. Thesis, Princeton University 1992
Ferenbaugh, Charles R. The genus-zero problem for $n\vert h$-type groups.
Duke Math. J. 72, no. 1, 31-63 1993.
Ferenbaugh, Charles R. Replication formulae for $n\vert h$-type Hauptmoduls.
J. Algebra 179, no. 3, 808-837 1996.
Ford, David; McKay, John; Norton, Simon More on replicable functions.
Comm. Algebra 22, no. 13, 5175-5193 1994.
Frenkel, Igor; Lepowsky, James; Meurman, Arne Vertex operator algebras and the Monster.
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Harada, Koichiro; Lang, Mong Lung The McKay-Thompson series associated with the irreducible characters of the Monster.
Moonshine, the Monster, and related topics (South Hadley, MA, 1994), 93-111, Contemp. Math., 193, Amer. Math. Soc., Providence, RI, 1996.
Hirzebruch, Friedrich; Berger, Thomas; Jung, Rainer Manifolds and modular forms.
With appendices by Nils-Peter Skoruppa and by Paul Baum.
Aspects of Mathematics, E20. Friedr. Vieweg & Sohn, Braunschweig, 1992. ISBN: 3-528-06414-5
Huang, Yi-Zhi Introduction to vertex operator algebras. III.
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Huang, Yi-Zhi; Lepowsky, James Tensor products of modules for a vertex operator algebra and vertex tensor categories.
Lie theory and geometry, 349-383, Progr. Math., 123, BirkhŠuser Boston, Boston, MA, 1994.
Hsu, Tim Some quilts for the Mathieu groups.
Moonshine, the Monster, and related topics (South Hadley, MA, 1994), 113-122, Contemp. Math., 193, Amer. Math. Soc., Providence, RI, 1996.
Huang, Yi-Zhi A nonmeromorphic extension of the Moonshine module vertex operator algebra.
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Ito, Hideji Computation of the modular equation.
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Ivanov, A. A. On the Buekenhout-Fischer geometry of the Monster.
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Kac, Victor G.; Kang, Seok-Jin Trace formula for graded Lie algebras and Monstrous Moonshine.
Representations of groups (Banff, AB, 1994), 141-154, CMS Conf. Proc., 16, Amer. Math. Soc., Providence, RI, 1995.
Kang, Seok-Jin Quantum deformations of generalized Kac-Moody algebras and their modules.
J. Algebra 175, no. 3, 1041-1066 1995.
Kimura, Takashi Operads of moduli spaces and algebraic structures in conformal field theory.
Moonshine, the Monster, and related topics (South Hadley, MA, 1994), 159-189, Contemp. Math., 193, Amer. Math. Soc., Providence, RI, 1996.
Koike M On replication formula and Hecke operators
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Koike, Masao Modular forms and the automorphism group of Leech lattice.
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Koike, Masao Moonshine, simple groups and unusual relations to automorphic functions.
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Kozlov D. N. On completely replicable
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M.Sc. thesis, Department of Mathematics, University of Lund, Sweden, 1994.
Kultze, Rolf Elliptic genera and the moonshine module.
Math. Z. 223 1996, no. 3, 463-471.
Landweber, Peter S.; Ravenel, Douglas C.; Stong, Robert E. Periodic cohomology theories defined by elliptic curves.
The \v Cech centennial (Boston, MA, 1993), 317-337, Contemp. Math., 181, Amer. Math. Soc., Providence, RI, 1995.
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Li, Hai Sheng Introduction to vertex operator algebras. II.
Moonshine and vertex operator algebra (Japanese) (Kyoto, 1994). S\=urikaisekikenky\=usho K\=oky\=uroku No. 904 1995, 26-50.
Lian, Bong H.; Yau, Shing-Tung Mirror symmetry, rational curves on algebraic manifolds and hypergeometric series.
XIth International Congress of Mathematical Physics (Paris, 1994), 163-184, Internat. Press, Cambridge, MA, 1995.
Lian, Bong H.; Zuckerman, Gregg J. Moonshine cohomology.
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Li, Hai-Sheng Local systems of twisted vertex operators, vertex operator superalgebras and twisted modules.
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Liu, Kefeng Modular forms and topology.
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K. Mahler On a class of non-linear functional equations connected
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Notas Soc. Mat. Chile 8, no. 1, 37-53 1989.
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Mason, Geoffrey Remarks on moonshine and orbifolds.
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Mason, Geoffrey Vertex operator representations of $\hat A\sb N$ organized by an affine space.
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Miyamoto, Masahiko $21$ involutions acting on the Moonshine module.
J. Algebra 175, no. 3, 941-965 1995.
Miyamoto, Masahiko Griess algebras and conformal vectors in vertex operator algebras.
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J. Algebra 156, no. 1, 237-243 1993.
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