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Volumn 4, Issue 6, 1997, Pages 809-821

Vertex operator algebras and irreducibility of certain modules for affine Lie algebras

Author keywords

Admissible representations; Affine lie algebra; Loop modules; Tensor products; Vertex operator algebra; Zhu's algebra

Indexed keywords


EID: 0031283711     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.1997.v4.n6.a3     Document Type: Article
Times cited : (8)

References (14)
  • 1
    • 17144436743 scopus 로고    scopus 로고
    • New irreducible modules for affine Lie algebras at the critical level
    • [A] D. Adamović, New irreducible modules for affine Lie algebras at the critical level, Internat. Math. Res. Notices 6 (1996), 253-261.
    • (1996) Internat. Math. Res. Notices , vol.6 , pp. 253-261
    • Adamović, D.1
  • 3
    • 0000434746 scopus 로고
    • A new family of irreducible, integrable modules for affine Lie algebras
    • [CP] V. Chari and A. Pressley, A new family of irreducible, integrable modules for affine Lie algebras, Math. Ann. 277 (1987), 543-562.
    • (1987) Math. Ann. , vol.277 , pp. 543-562
    • Chari, V.1    Pressley, A.2
  • 6
    • 84973998987 scopus 로고
    • Vertex operator algebras associated to representations of affine and Virasoro algebras
    • [FZ] I. B. Frenkel and Y. Zhu, Vertex operator algebras associated to representations of affine and Virasoro algebras, Duke Math. J. 66 (1992), 123-168.
    • (1992) Duke Math. J. , vol.66 , pp. 123-168
    • Frenkel, I.B.1    Zhu, Y.2
  • 7
    • 0002668119 scopus 로고
    • An axiomatic approach to Vertex operator algebras and modules
    • [FHL] I. B. Frenkel, Y.-Z. Huang, and J. Lepowsky, An axiomatic approach to Vertex operator algebras and modules, Mem. Amer. Math. Soc. 104 (1993).
    • (1993) Mem. Amer. Math. Soc. , vol.104
    • Frenkel, I.B.1    Huang, Y.-Z.2    Lepowsky, J.3
  • 9
    • 84968466254 scopus 로고
    • Tensor structures arising from affine lie algebras I
    • [KL] D. Kazhdan and G. Lusztig, Tensor structures arising from affine Lie algebras I, J. Amer. Math. Soc. 64 (1993), 905-947.
    • (1993) J. Amer. Math. Soc. , vol.64 , pp. 905-947
    • Kazhdan, D.1    Lusztig, G.2
  • 10
    • 0000657471 scopus 로고
    • Modular invariant representations of infinite dimensional lie algebras and superalgebras
    • [KW 1] V. G. Kac and M. Wakimoto, Modular invariant representations of infinite dimensional Lie algebras and superalgebras, Proc. Natl. Acad. Sci. USA 85 (1988), 4956-4960.
    • (1988) Proc. Natl. Acad. Sci. USA , vol.85 , pp. 4956-4960
    • Kac, V.G.1    Wakimoto, M.2
  • 11
    • 0000173476 scopus 로고
    • Classification of modular invariant representations of affine algebras, Infinite-dimensional Lie algebras and groups
    • Luminy-Marseille, 1988, World Sci. Publishing, Teaneck, NJ
    • [KW 2] -, Classification of modular invariant representations of affine algebras, Infinite-dimensional Lie algebras and groups (Luminy-Marseille, 1988), 138-177, Adv. Ser. Math. Phys., vol. 7, World Sci. Publishing, Teaneck, NJ, 1989.
    • (1989) Adv. Ser. Math. Phys. , vol.7 , pp. 138-177


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.