메뉴 건너뛰기




Volumn 195, Issue 1, 1998, Pages 29-65

Missing modules, the Gnome Lie algebra, and E10

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0040041910     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050378     Document Type: Article
Times cited : (6)

References (32)
  • 3
    • 0001056693 scopus 로고
    • Vertex algebras, Kac-Moody algebras, and the monster
    • Borcherds, R. E.: Vertex algebras, Kac-Moody algebras, and the monster. Proc. Nat. Acad. Sci. U.S.A. 83, 3068-3071 (1986)
    • (1986) Proc. Nat. Acad. Sci. U.S.A. , vol.83 , pp. 3068-3071
    • Borcherds, R.E.1
  • 4
    • 0000216149 scopus 로고
    • Generalized Kac-Moody algebras
    • Borcherds, R. E.: Generalized Kac-Moody algebras. J. Algebra 115, 501-512 (1988)
    • (1988) J. Algebra , vol.115 , pp. 501-512
    • Borcherds, R.E.1
  • 5
    • 0010122758 scopus 로고
    • The monster Lie algebra
    • Borcherds, R. E.: The monster Lie algebra. Adv. in Math. 83, 30-47 (1990)
    • (1990) Adv. in Math. , vol.83 , pp. 30-47
    • Borcherds, R.E.1
  • 6
    • 0040661449 scopus 로고
    • Monstrous Lie superalgebras
    • Borcherds, R. E.: Monstrous Lie superalgebras. Invent. Math. 109, 405-444 (1992)
    • (1992) Invent. Math. , vol.109 , pp. 405-444
    • Borcherds, R.E.1
  • 7
    • 0001622275 scopus 로고
    • A chacterization of generalized Kac-Moody algebras
    • Borcherds, R. E.: A chacterization of generalized Kac-Moody algebras. J. Algebra 174, 1073-1079 (1995)
    • (1995) J. Algebra , vol.174 , pp. 1073-1079
    • Borcherds, R.E.1
  • 8
    • 0001010950 scopus 로고
    • Spectrum-generating algebra and no-ghost theorem for the dual model
    • Brower, R. C.: Spectrum-generating algebra and no-ghost theorem for the dual model. Phys. Rev. D6, 1655-1662 (1972)
    • (1972) Phys. Rev. , vol.D6 , pp. 1655-1662
    • Brower, R.C.1
  • 9
    • 0000893549 scopus 로고
    • The automorphism group of the 26-dimensional even unimodular Lorentzian lattice
    • Conway, J. H.: The automorphism group of the 26-dimensional even unimodular Lorentzian lattice. J. Algebra 80, 159-163 (1983)
    • (1983) J. Algebra , vol.80 , pp. 159-163
    • Conway, J.H.1
  • 11
    • 0000786457 scopus 로고
    • General properties of the dual resonance model
    • Del Giudice, E., Di Vecchia, P., and Fubini, S.: General properties of the dual resonance model. Ann. Physics 70, 378-398 (1972)
    • (1972) Ann. Physics , vol.70 , pp. 378-398
    • Del Giudice, E.1    Di Vecchia, P.2    Fubini, S.3
  • 12
    • 0001910543 scopus 로고
    • A hyperbolic Kac-Moody algebra and the theory of Siegel modular forms of genus 2
    • Feingold, A. J., and Frenkel, I. B.: A hyperbolic Kac-Moody algebra and the theory of Siegel modular forms of genus 2. Math. Ann. 263, 87-144 (1983)
    • (1983) Math. Ann. , vol.263 , pp. 87-144
    • Feingold, A.J.1    Frenkel, I.B.2
  • 13
    • 0039025111 scopus 로고
    • Representations of hyperbolic Kac-Moody algebras
    • Feingold, A. J., Frenkel, I. B., and Ries, J. F. X.: Representations of hyperbolic Kac-Moody algebras. J. Algebra 156, 433-453 (1993)
    • (1993) J. Algebra , vol.156 , pp. 433-453
    • Feingold, A.J.1    Frenkel, I.B.2    Ries, J.F.X.3
  • 14
    • 0002668119 scopus 로고
    • On axiomatic approaches to vertex operator algebras and modules
    • Frenkel, I. B., Huang, Y.-Z., and Lepowsky, J.: On axiomatic approaches to vertex operator algebras and modules. Mem. Am. Math. Soc. 104 (1993)
    • (1993) Mem. Am. Math. Soc. , vol.104
    • Frenkel, I.B.1    Huang, Y.-Z.2    Lepowsky, J.3
  • 15
    • 0003207360 scopus 로고
    • Vertex operator algebras and the monster
    • San Diego, CA: Academic Press
    • Frenkel, I. B., Lepowsky, J., and Meurman, A.: Vertex Operator Algebras and the Monster. Pure and Applied Mathematics Volume 134. San Diego, CA: Academic Press, 1988
    • (1988) Pure and Applied Mathematics , vol.134
    • Frenkel, I.B.1    Lepowsky, J.2    Meurman, A.3
  • 16
    • 0000022675 scopus 로고
    • Introduction to vertex algebras. Borcherds algebras, and the monster Lie algebra
    • Gebert, R. W.: Introduction to vertex algebras. Borcherds algebras, and the monster Lie algebra. Int. J. Mod. Phys. A8, 5441-5503 (1993)
    • (1993) Int. J. Mod. Phys. , vol.A8 , pp. 5441-5503
    • Gebert, R.W.1
  • 18
    • 0031481684 scopus 로고    scopus 로고
    • An affine string vertex operator construction at arbitrary level
    • Gebert, R. W., and Nicolai, H.: An affine string vertex operator construction at arbitrary level. J. Math. Phys. 38, 4435-4450 (1997)
    • (1997) J. Math. Phys. , vol.38 , pp. 4435-4450
    • Gebert, R.W.1    Nicolai, H.2
  • 19
    • 0001032514 scopus 로고    scopus 로고
    • Multistring vertices and hyperbolic Kac-Moody algebras
    • Gebert, R. W., Nicolai, H., and West, P. C.: Multistring vertices and hyperbolic Kac-Moody algebras. Int. J. Mod. Phys. A11, 429-514 (1996)
    • (1996) Int. J. Mod. Phys. , vol.A11 , pp. 429-514
    • Gebert, R.W.1    Nicolai, H.2    West, P.C.3
  • 20
    • 0011658957 scopus 로고
    • Target space duality in siring theory
    • Giveon, A., Porrati, M., and Rabinovici, E.: Target space duality in siring theory. Phys. Rep. 244, 77-202 (1994)
    • (1994) Phys. Rep. , vol.244 , pp. 77-202
    • Giveon, A.1    Porrati, M.2    Rabinovici, E.3
  • 21
    • 0004331890 scopus 로고
    • Siegel automorphic form corrections of some Lorentzian Kac-Moody Lie algebras
    • Mathematica Gottingensis Eprint alg-geom/9504006
    • Gritsenko, V. A., and Nikulin, V. V: Siegel automorphic form corrections of some Lorentzian Kac-Moody Lie algebras. Schriftenreihe des SFB "Geometrie und Analysis" Heft 17, Mathematica Gottingensis (1995). Eprint alg-geom/9504006
    • (1995) Schriftenreihe des SFB "Geometrie und Analysis" , vol.17
    • Gritsenko, V.A.1    Nikulin, V.V.2
  • 22
    • 0030600825 scopus 로고    scopus 로고
    • Algebras, BPS states, and strings
    • Harvey, J. A., and Moore, G.: Algebras, BPS states, and strings. Nucl. Phys. B463, 315-368 (1996)
    • (1996) Nucl. Phys. , vol.B463 , pp. 315-368
    • Harvey, J.A.1    Moore, G.2
  • 23
    • 0009989752 scopus 로고    scopus 로고
    • Generalized Kac-Moody lie algebras, free Lie algebras and the structure of the monster Lie algebra
    • To appear
    • Jurisich, E.: Generalized Kac-Moody Lie algebras, free Lie algebras and the structure of the monster Lie algebra. J. Pure Appl Algebra 122 (1997). To appear
    • (1997) J. Pure Appl Algebra , pp. 122
    • Jurisich, E.1
  • 26
    • 0000473070 scopus 로고
    • Generalized Kac-Moody algebras and the modular function j
    • Kang, S.-J.: Generalized Kac-Moody algebras and the modular function j. Math. Ann. 298, 373-384 (1994)
    • (1994) Math. Ann. , vol.298 , pp. 373-384
    • Kang, S.-J.1
  • 29
    • 0011472553 scopus 로고
    • Reflection groups in hyperbolic spaces and the denominator formula for Lorentzian Kac-Moody Lie algebras
    • Mathematica Gottingensis Eprint alg-geom/9503003
    • Nikulin, V. V.: Reflection groups in hyperbolic spaces and the denominator formula for Lorentzian Kac-Moody Lie algebras. Schriftenreihe des SFB "Geometrie und Analysis" Heft 13, Mathematica Gottingensis (1995). Eprint alg-geom/9503003
    • (1995) Schriftenreihe des SFB "Geometrie und Analysis" , vol.13
    • Nikulin, V.V.1
  • 30
    • 0004760783 scopus 로고
    • Dynkin diagrams for hyperbolic Kac-Moody algebras
    • Saçlioǧlu, C.: Dynkin diagrams for hyperbolic Kac-Moody algebras. J. Phys. A: Math, and Gen. 22, 3753-3769 (1989)
    • (1989) J. Phys. A: Math, and Gen. , vol.22 , pp. 3753-3769
    • Saçlioǧlu, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.