메뉴 건너뛰기




Volumn , Issue 23, 2003, Pages 1269-1303

3-state Potts model, Moonshine vertex operator algebra, and 3A-elements of the Monster group

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0037653294     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s1073792803212010     Document Type: Article
Times cited : (18)

References (32)
  • 1
    • 0001557274 scopus 로고
    • A simple construction for the Fischer-Griess Monster group
    • J. H. Conway, A simple construction for the Fischer-Griess monster group, Invent. Math. 79 (1985), no. 3, 513-540.
    • (1985) Invent. Math. , vol.79 , Issue.3 , pp. 513-540
    • Conway, J.H.1
  • 4
    • 0000292099 scopus 로고
    • Vertex algebras associated with even lattices
    • C. Dong, Vertex algebras associated with even lattices, J. Algebra 161 (1993), no. 1, 245-265.
    • (1993) J. Algebra , vol.161 , Issue.1 , pp. 245-265
    • Dong, C.1
  • 5
    • 0002706199 scopus 로고
    • Representations of the Moonshine module vertex operator algebra
    • Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups (South Hadley, Mass, 1992), American Mathematical Society, Rhode Island
    • _, Representations of the moonshine module vertex operator algebra, Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups (South Hadley, Mass, 1992), Contemp. Math., vol. 175, American Mathematical Society, Rhode Island, 1994, pp. 27-36.
    • (1994) Contemp. Math. , vol.175 , pp. 27-36
  • 6
    • 43949148975 scopus 로고
    • Twisted modules for vertex algebras associated with even lattices
    • _, Twisted modules for vertex algebras associated with even lattices, J. Algebra 165 (1994), no. 1, 91-112.
    • (1994) J. Algebra , vol.165 , Issue.1 , pp. 91-112
  • 7
    • 0032478471 scopus 로고    scopus 로고
    • Framed vertex operator algebras, codes and the Moonshine module
    • C. Dong, R. L. Griess Jr., and G. Höhn, Framed vertex operator algebras, codes and the Moonshine module, Comm. Math. Phys. 193 (1998), no. 2, 407-448.
    • (1998) Comm. Math. Phys. , vol.193 , Issue.2 , pp. 407-448
    • Dong, C.1    Griess R.L., Jr.2    Höhn, G.3
  • 8
    • 0003353671 scopus 로고
    • Generalized vertex algebras and relative vertex operators
    • Birkhäuser Boston, Massachusetts
    • C. Dong and J. Lepowsky, Generalized Vertex Algebras and Relative Vertex Operators, Progress in Mathematics, vol. 112, Birkhäuser Boston, Massachusetts, 1993.
    • (1993) Progress in Mathematics , vol.112
    • Dong, C.1    Lepowsky, J.2
  • 9
    • 0030581256 scopus 로고    scopus 로고
    • The algebraic structure of relative twisted vertex operators
    • _, The algebraic structure of relative twisted vertex operators, J. Pure Appl. Algebra 110 (1996), no. 3, 259-295.
    • (1996) J. Pure Appl. Algebra , vol.110 , Issue.3 , pp. 259-295
  • 10
    • 0034288951 scopus 로고    scopus 로고
    • Modular-invariance of trace functions in orbifold theory and generalized Moonshine
    • C. Dong, H. Li, and G. Mason, Modular-invariance of trace functions in orbifold theory and generalized Moonshine, Comm. Math. Phys. 214 (2000), no. 1, 1-56.
    • (2000) Comm. Math. Phys. , vol.214 , Issue.1 , pp. 1-56
    • Dong, C.1    Li, H.2    Mason, G.3
  • 11
    • 0002979905 scopus 로고    scopus 로고
    • Associative subalgebras of the Griess algebra and related topics
    • The Monster and Lie Algebras (Columbus, Ohio, 1996) (J. Ferrar and K. Harada, eds.), de Gruyter, Berlin
    • C. Dong, H. Li, G. Mason, and S. P. Norton, Associative subalgebras of the Griess algebra and related topics, The Monster and Lie Algebras (Columbus, Ohio, 1996) (J. Ferrar and K. Harada, eds.), Ohio State Univ. Math. Res. Inst. Publ., vol. 7, de Gruyter, Berlin, 1998, pp. 27-42.
    • (1998) Ohio State Univ. Math. Res. Inst. Publ. , vol.7 , pp. 27-42
    • Dong, C.1    Li, H.2    Mason, G.3    Norton, S.P.4
  • 12
    • 0003161541 scopus 로고
    • p-orbifold
    • Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups (South Hadley, Mass, 1992), American Mathematical Society, Rhode Island
    • p-orbifold, Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups (South Hadley, Mass, 1992), Contemp. Math., vol. 175, American Mathematical Society, Rhode Island, 1994, pp. 37-52.
    • (1994) Contemp. Math. , vol.175 , pp. 37-52
    • Dong, C.1    Mason, G.2
  • 13
    • 0000900139 scopus 로고    scopus 로고
    • On quantum Galois theory
    • _, On quantum Galois theory, Duke Math. J. 86 (1997), no. 2, 305-321.
    • (1997) Duke Math. J. , vol.86 , Issue.2 , pp. 305-321
  • 14
    • 0000844713 scopus 로고
    • Discrete series of the Virasoro algebra and the Moonshine module
    • Algebraic Groups and Their Generalizations: Quantum and Infinite-Dimensional Methods (University Park, Pa, 1991), American Mathematical Society, Rhode Island
    • C. Dong, G. Mason, and Y. Zhu, Discrete series of the Virasoro algebra and the moonshine module, Algebraic Groups and Their Generalizations: Quantum and Infinite-Dimensional Methods (University Park, Pa, 1991), Proc. Sympos. Pure Math., vol. 56, American Mathematical Society, Rhode Island, 1994, pp. 295-316.
    • (1994) Proc. Sympos. Pure Math. , vol.56 , pp. 295-316
    • Dong, C.1    Mason, G.2    Zhu, Y.3
  • 16
    • 0002668119 scopus 로고
    • On axiomatic approaches to vertex operator algebras and modules
    • I. B. Frenkel, Y.-Z. Huang, and J. Lepowsky, On axiomatic approaches to vertex operator algebras and modules, Mem. Amer. Math. Soc. 104 (1993), no. 494, viii+64.
    • (1993) Mem. Amer. Math. Soc. , vol.104 , Issue.494
    • Frenkel, I.B.1    Huang, Y.-Z.2    Lepowsky, J.3
  • 17
    • 0003207360 scopus 로고
    • Vertex operator algebras and the Monster
    • Academic Press, Massachusetts
    • I. B. Frenkel, J. Lepowsky, and A. Meurman, Vertex Operator Algebras and the Monster, Pure and Applied Mathematics, vol. 134, Academic Press, Massachusetts, 1988.
    • (1988) Pure and Applied Mathematics , vol.134
    • Frenkel, I.B.1    Lepowsky, J.2    Meurman, A.3
  • 18
    • 34250224772 scopus 로고
    • The friendly giant
    • R. L. Griess Jr., The friendly giant, Invent. Math. 69 (1982), no. 1, 1-102.
    • (1982) Invent. Math. , vol.69 , Issue.1 , pp. 1-102
    • Griess R.L., Jr.1
  • 19
    • 0034654709 scopus 로고    scopus 로고
    • Decomposition of the Moonshine vertex operator algebra as Virasoro modules
    • M. Kitazume, C. H. Lam, and H. Yamada, Decomposition of the Moonshine vertex operator algebra as Virasoro modules, J. Algebra 226 (2000), no. 2, 893-919.
    • (2000) J. Algebra , vol.226 , Issue.2 , pp. 893-919
    • Kitazume, M.1    Lam, C.H.2    Yamada, H.3
  • 20
    • 0034649928 scopus 로고    scopus 로고
    • Ternary codes and vertex operator algebras
    • M. Kitazume, M. Miyamoto, and H. Yamada, Ternary codes and vertex operator algebras, J. Algebra 223 (2000), no. 2, 379-395.
    • (2000) J. Algebra , vol.223 , Issue.2 , pp. 379-395
    • Kitazume, M.1    Miyamoto, M.2    Yamada, H.3
  • 21
    • 0034259571 scopus 로고    scopus 로고
    • Some twisted modules for framed vertex operator algebras
    • C. H. Lam, Some twisted modules for framed vertex operator algebras, J. Algebra 231 (2000), no. 1, 331-341.
    • (2000) J. Algebra , vol.231 , Issue.1 , pp. 331-341
    • Lam, C.H.1
  • 22
    • 0035409922 scopus 로고    scopus 로고
    • Induced modules for orbifold vertex operator algebras
    • _, Induced modules for orbifold vertex operator algebras, J. Math. Soc. Japan 53 (2001), no. 3, 541-557.
    • (2001) J. Math. Soc. Japan , vol.53 , Issue.3 , pp. 541-557
  • 23
    • 0034651344 scopus 로고    scopus 로고
    • 2 codes and vertex operator algebras
    • 2 codes and vertex operator algebras, J. Algebra 224 (2000), no. 2, 268-291.
    • (2000) J. Algebra , vol.224 , Issue.2 , pp. 268-291
    • Lam, C.H.1    Yamada, H.2
  • 24
    • 85086813051 scopus 로고    scopus 로고
    • 3-twisted representations of lattice vertex operator algebras
    • 3-twisted representations of lattice vertex operator algebras, to appear in Comm. Algebra.
    • Comm. Algebra
  • 25
    • 0001008519 scopus 로고
    • Calculus of twisted vertex operators
    • J. Lepowsky, Calculus of twisted vertex operators, Proc. Nat. Acad. Sci. U.S.A. 82 (1985), no. 24, 8295-8299.
    • (1985) Proc. Nat. Acad. Sci. U.S.A. , vol.82 , Issue.24 , pp. 8295-8299
    • Lepowsky, J.1
  • 27
    • 0035541764 scopus 로고    scopus 로고
    • Norton's trace formulae for the Griess algebra of a vertex operator algebra with larger symmetry
    • A. Matsuo, Norton's trace formulae for the Griess algebra of a vertex operator algebra with larger symmetry, Comm. Math. Phys. 224 (2001), no. 3, 565-591.
    • (2001) Comm. Math. Phys. , vol.224 , Issue.3 , pp. 565-591
    • Matsuo, A.1
  • 28
    • 0012486795 scopus 로고
    • The q-series of Monstrous Moonshine and the decomposition of the head characters
    • J. MCKay and H. Strauss, The q-series of monstrous moonshine and the decomposition of the head characters, Comm. Algebra 18 (1990), no. 1, 253-278.
    • (1990) Comm. Algebra , vol.18 , Issue.1 , pp. 253-278
    • McKay, J.1    Strauss, H.2
  • 29
    • 0030584045 scopus 로고    scopus 로고
    • Griess algebras and conformal vectors in vertex operator algebras
    • M. Miyamoto, Griess algebras and conformal vectors in vertex operator algebras, J. Algebra 179 (1996), no. 2, 523-548.
    • (1996) J. Algebra , vol.179 , Issue.2 , pp. 523-548
    • Miyamoto, M.1
  • 30
    • 0035343248 scopus 로고    scopus 로고
    • 3-state Potts model and automorphisms of vertex operator algebras of order 3
    • _, 3-state Potts model and automorphisms of vertex operator algebras of order 3, J. Algebra 239 (2001), no. 1, 56-76.
    • (2001) J. Algebra , vol.239 , Issue.1 , pp. 56-76
  • 31
    • 0038716097 scopus 로고    scopus 로고
    • A new construction of the Moonshine vertex operator algebra over the real number field
    • _, A new construction of the moonshine vertex operator algebra over the real number field, to appear in Ann. Math.
    • Ann. Math.
  • 32
    • 84963036993 scopus 로고
    • Rationality of Virasoro vertex operator algebras
    • W. Wang, Rationality of Virasoro vertex operator algebras, Internat. Math. Res. Notices 1993 (1993), no. 7, 197-211.
    • (1993) Internat. Math. Res. Notices , vol.1993 , Issue.7 , pp. 197-211
    • Wang, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.