57
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

REPRESENTATIONS OF TERNARY CODE VERTEX OPERATOR ALGEBRAS

Pages 951-971 | Received 01 Aug 1998, Published online: 20 Aug 2006

REFERENCES

  • Dong , C. , Griess , R. L. Jr. and Höhn , G. 1998 . Framed Vertex Operator Algebras, Codes and the Moonshine Module . Comm. Math. Phys. , 193 ( 2 ) : 407 – 448 .
  • Dong , C. , Mason , G. and Zhu , Y. 1994 . Discrete Series of the Virasoro Algebra and the Moonshine Module . Pro. Symp. Pure. Math., American Math. Soc. , 56 ( II ) : 295 – 316 .
  • Miyamoto , M. 1996 . Griess Algebras and Conformal Vectors in Vertex Operator Algebras . J. Algebra , 179 : 23 – 548 .
  • Miyamoto , M. 1996 . Binary Codes and Vertex Operator (Super) Algebras . J. Algebra , 181 : 207 – 222 .
  • Miyamoto , M. 1998 . Representation Theory of Code Vertex Operator Algebra . J. Algebra , 201 : 115 – 150 .
  • Lam , C. 1999 . Twisted Representations of Code Vertex Operator Algebras . J. Algebra , 217 : 275 – 294 .
  • Kitazume , M. , Miyamoto , M. and Yamada , H. 2000 . Ternary Codes and Vertex Operator Algebras . J. Algebra , 223 : 379 – 395 .
  • Dong , C. and Lepowsky , J. 1993 . “ Generalized Vertex Algebras and Relative Vertex Operators ” . In Progress in Math Vol. 112 , Boston : Birkhäuser .
  • Frenkel , I. B. , Huang , Y. and Lepowsky , J. 1993 . On Axiomatic Approaches to Vertex Operator Algebras and Modules . Mem. Amer.Math. Soc. , : 104
  • Frenkel , I. B. , Lepowsky , J. and Meurman , A. 1988 . “ Vertex Operator Algebras and the Monster ” . In Pure and Applied Math. Vol. 134 , Academic Pres .
  • Dong , C. and Lin , Z. 1996 . Induced Modules for Vertex Operator Algebras . Comm. Math. Phys. , 179 : 154 – 184 .
  • Dong , C. 1993 . Vertex Algebras Associated with Even Lattices . J. Algebra , 161 : 245 – 265 .
  • Mossberg , G. 1994 . Axiomatic Vertex Algebras and the JacobiIdentity . J. Algebra , 170 : 956 – 1010 .
  • Dong , C. , Li , H. , Mason , G. and Norton , S. P. Associative Subalgebras of Griess Algebra and Related Topics . Proceedings of the Conference on the Monster and Lie Algebra, the Ohio State University . May 1996 . Edited by: Ferrar , J. and Harada , K. Berlin, New York : Walter de Gruyter .
  • Miyamoto , M. 3-State Potts Model and Automorphism of Vertex Operator Algebra of Order 3 . preprint ,
  • Li , H. 1994 . Representation Theory and Tensor Product Theory of Vertex Operator Algebras , Ph.D. Dissertation Rutgers University .
  • Dong , C. 1994 . The Representation of Moonshine Module Vertex Operator Algebra . Contemporary Math , 175 : 27 – 36 .
  • Dong , C. , Li , H. and Mason , G. 1997 . Regularity of Rational Vertex Operator Algebras . Adv. Math. , 132 : 148 – 166 .
  • Dong , C. , Li , H. and Mason , G. 1996 . Simple Currents and Extensions of Vertex Operator Algebras . Comm. Math. Phys. , 180 : 671 – 707 .
  • Dong , C. and Mason , G. 1997 . On Quantum Galois Theory . Duke Math. J. , 86 ( 2 ) : 305 – 321 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.