메뉴 건너뛰기




Volumn 4, Issue 3, 1998, Pages 377-418

Structure theory of finite conformal algebras

Author keywords

Annihilation algebra; Conformal algebra; Conformal module; Formal distribution; Operator product expansion

Indexed keywords


EID: 54649083840     PISSN: 10221824     EISSN: 14209020     Source Type: Journal    
DOI: 10.1007/s000290050036     Document Type: Article
Times cited : (245)

References (22)
  • 2
    • 0010882054 scopus 로고
    • Infinite conformal symmetry in two-dimensional quantum field theory
    • A.A. Belavin, A.M. Polyakov and A.B. Zamolodchikov. Infinite conformal symmetry in two-dimensional quantum field theory. Nucl. Phys. B 241 (1984), 333-380.
    • (1984) Nucl. Phys. B , vol.241 , pp. 333-380
    • Belavin, A.A.1    Polyakov, A.M.2    Zamolodchikov, A.B.3
  • 3
    • 84972540021 scopus 로고
    • A theorem of Cartan and Guillemin
    • R.J. Blattner. A theorem of Cartan and Guillemin. J. Diff. Geom. 5 (1970), 295-305.
    • (1970) J. Diff. Geom. , vol.5 , pp. 295-305
    • Blattner, R.J.1
  • 4
    • 0001056693 scopus 로고
    • Vertex algebras, Kac-Moody algebras, and the Monster
    • R. Borcherds. Vertex algebras, Kac-Moody algebras, and the Monster. Proc. Natl. Acad. Sci. USA 83 (1986), 3068-3071.
    • (1986) Proc. Natl. Acad. Sci. USA , vol.83 , pp. 3068-3071
    • Borcherds, R.1
  • 6
    • 0003157303 scopus 로고    scopus 로고
    • Extensions of conformal modules
    • "Topological field theory, primitive forms and related topics", Progress in Math. Birkhäuser
    • S.-J. Cheng, V.G. Kac and M. Wakimoto. Extensions of conformal modules, in "Topological field theory, primitive forms and related topics", Proc. of Taniguchi and RIMS symposia, Progress in Math. Birkhäuser, 1998.
    • (1998) Proc. of Taniguchi and RIMS Symposia
    • Cheng, S.-J.1    Kac, V.G.2    Wakimoto, M.3
  • 7
    • 51649178501 scopus 로고
    • Sur les corps lies aux algèbres enveloppantes des algèbres de Lie
    • I.M. Gelfand and A.A. Kirillov. Sur les corps lies aux algèbres enveloppantes des algèbres de Lie. Publ. Math IHES (1966), 5-19.
    • (1966) Publ. Math IHES , pp. 5-19
    • Gelfand, I.M.1    Kirillov, A.A.2
  • 8
    • 84972496067 scopus 로고
    • A Jordan-Holder decomposition for a certain class of infinite dimensional Lie algebras
    • V. Guillemin. A Jordan-Holder decomposition for a certain class of infinite dimensional Lie algebras. J. Diff. Geom. 2 (1968), 313-345.
    • (1968) J. Diff. Geom. , vol.2 , pp. 313-345
    • Guillemin, V.1
  • 9
    • 84972538976 scopus 로고
    • Infinite-dimensional primitive Lie algebras
    • V. Guillemin. Infinite-dimensional primitive Lie algebras. J. Diff. Geom. 4 (1970), 257-282.
    • (1970) J. Diff. Geom. , vol.4 , pp. 257-282
    • Guillemin, V.1
  • 10
    • 0003259205 scopus 로고    scopus 로고
    • Vertex algebras for beginners
    • AMS Second edition
    • V.G. Kac. Vertex algebras for beginners. Univ. Lect. Series 10, AMS (1996). Second edition 1998.
    • (1996) Univ. Lect. Series , vol.10
    • Kac, V.G.1
  • 11
    • 0001296481 scopus 로고
    • Simple irreducible graded Lie algebras of finite growth
    • V.G. Kac. Simple irreducible graded Lie algebras of finite growth. Math. USSR-Izvestija 2 (1968), 1271-1311.
    • (1968) Math. USSR-Izvestija , vol.2 , pp. 1271-1311
    • Kac, V.G.1
  • 13
    • 0003129697 scopus 로고    scopus 로고
    • Formal distribution algebras and conformal algebras
    • July
    • V.G. Kac. Formal distribution algebras and conformal algebras. Brisbane Congress in Math.Phys., July 1997.
    • (1997) Brisbane Congress in Math.Phys.
    • Kac, V.G.1
  • 15
    • 0039334717 scopus 로고
    • Sur un problème de V.G. Kac: La classification de certaines algèbres de Lie graduées simples
    • O. Mathieu. Sur un problème de V.G. Kac: la classification de certaines algèbres de Lie graduées simples. J. Algebra 102 (1986), 505-536.
    • (1986) J. Algebra , vol.102 , pp. 505-536
    • Mathieu, O.1
  • 16
    • 0001534518 scopus 로고
    • Classification des algèbres de Lie graduées simples de croissance ≤ 1
    • O. Mathieu. Classification des algèbres de Lie graduées simples de croissance ≤ 1. Invent. Math 80 (1986), 371-426.
    • (1986) Invent. Math , vol.80 , pp. 371-426
    • Mathieu, O.1
  • 17
    • 0000203532 scopus 로고
    • Classification of simple graded Lie algebras of finite growth
    • O. Mathieu. Classification of simple graded Lie algebras of finite growth. Invent. Math. 108 (1992), 455-519.
    • (1992) Invent. Math. , vol.108 , pp. 455-519
    • Mathieu, O.1
  • 19
    • 0003353671 scopus 로고
    • Generalized vertex algebras and relative vertex operators
    • Birkhauser, Boston
    • C. Dong and J. Lepowski. Generalized vertex algebras and relative vertex operators. Progress in Math. 112. Birkhauser, Boston, 1993.
    • (1993) Progress in Math. , vol.112
    • Dong, C.1    Lepowski, J.2
  • 20
    • 0002668119 scopus 로고
    • On axiomatic approaches to vertex operator algebras and modules
    • I.B. Frenkel, Y.-Z. Huang and J. Lepowski. On axiomatic approaches to vertex operator algebras and modules. Mem. AMS 104 (1993), no. No. 494.
    • (1993) Mem. AMS , vol.104 , Issue.494
    • Frenkel Y-Z Huang, I.B.1    Lepowski, J.2
  • 22
    • 0030578141 scopus 로고    scopus 로고
    • Local systems of vertex operators, vertex superalgebras, and modules
    • H.-S. Li. Local systems of vertex operators, vertex superalgebras, and modules. J. Pure Appl. Algebra 109 (1996), 143-195.
    • (1996) J. Pure Appl. Algebra , vol.109 , pp. 143-195
    • Li, H.-S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.