Quadratic spaces and holomorphic framed vertex operator algebras of central charge 24

R.E. Borcherds, Vertex algebras, Kac-Moody algebras, and the Monster, Proc. Nat’l. Acad. Sci. U.S.A

1986

Earlier work this paper cites.

I. Frenkel, J. Lepowsky and A. Meurman, Vertex operator algebras and the Monster, Pure and Appl. Math., Vol.134, Academic Press, Boston, 1988

1988

Earlier work this paper cites.

I. Frenkel and Y. Zhu, Vertex operator algebras associated to representations of affine and Virasoro algebras, Duke Math. J

1992

Earlier work this paper cites.

C. Dong, Vertex algebras associated with even lattices, J. Algebra

1993

Earlier work this paper cites.

I. Frenkel, Y. Huang and J. Lepowsky, On axiomatic approaches to vertex operator algebras and modules, Mem. Amer. Math. Soc. 104

1993

Earlier work this paper cites.

A.N. Schellekens, Meromorphic c = 24 c=24 conformal field theories, Comm. Math. Phys

1993

Earlier work this paper cites.

C. Dong, G. Mason and Y. Zhu, Discrete series of the Virasoro algebra and the moonshine module, Proc. Sympos. Pure Math

1994

Earlier work this paper cites.

L. Dolan, P. Goddard and P. Montague, Conformal field theories, representations and lattice constructions, Comm. Math. Phys

1996

Earlier work this paper cites.

M. Miyamoto, Binary codes and vertex operator (super)algebras, J. Algebra

1996

Earlier work this paper cites.

C.C. Chevalley, The algebraic theory of spinors and Clifford algebras, Springer-Verlag, Berlin, 1997

1997

Cited alongside, same era.

C. Dong, R.L. Griess, and G. H o ¨ \ddot{\rm o} hn, Framed vertex operator algebras, codes and Moonshine module, Comm. Math. Phys

1998

Cited alongside, same era.

R.L. Griess, A vertex operator algebra related to E 8 E_{8} with automorphism group O + ​ ( 10 , 2 ) {\rm O}^{+}(10,2) , Ohio State Univ. Math. Res. Inst. Publ

1998

Cited alongside, same era.

M. Harada and M. Kitazume, Z 4 Z_{4} -code constructions for the Niemeier lattices and their embeddings in the Leech lattice, European J. Combin

2000

Cited alongside, same era.

S. Sakuma and H. Yamauchi, Vertex operator algebra with two Miyamoto involutions generating S 3 S_{3} , J. Algebra

2003

Cited alongside, same era.

M. Miyamoto, A new construction of the Moonshine vertex operator algebra over the real number field, Ann. of Math

2004

Later among the works it cites.

H. Shimakura, The automorphism group of the vertex operator algebra V L + V_{L}^{+} for an even lattice L L without roots, J. Algebra

2004

Later among the works it cites.

T. Abe, C. Dong, and H. Li, Fusion rules for the vertex operator algebra M ⁡ ( 1 ) M(1) and V L + V^{+}_{L} , Comm. Math. Phys

2005

Later among the works it cites.

C. Dong and G. Mason, Integrability of C 2 C_{2} -cofinite vertex operator algebras. Int. Math. Res. Not

2006

Later among the works it cites.

H. Shimakura, The automorphism groups of the vertex operator algebras V L + V_{L}^{+} : general case, Math. Z

2006

Later among the works it cites.