REFERENCES
- Adamović , D. ( 1994 ). Some rational vertex algebras . Glas. Mat Ser. III 29 ( 1 ): 25 – 40 .
- Adamović , D. , Milas , A. ( 1995 ). Vertex operator algebras associated to modular invariant representations for . Math. Res. Lett. 2 : 563 – 575 .
- Axtell , J. , Lee , K.-H. ( 2011 ). Vertex operator algebras associated to type G affine Lie algebras . J. Algebra 337 : 195 – 223 .
- Dixmier , J. ( 1996 ). Enveloping Algebras . Graduate Studies in Mathematics . Vol. 11 . Providence , R.I. : American Mathematical Society .
- Dong , C. , Li , H. , Mason , G. ( 1997 ). Vertex operator algebras associated to admissible representations of . Comm. Math. Phys. 184 : 65 – 93 .
- Frenkel , I. , Lepowsky , J. , Meurman , A. ( 1998 ). Vertex operator algebras and the Monster. Pur Appl. Math. Vol. 134. Boston: Academic Press .
- Frenkel , I. B. , Zhu , Y. ( 1992 ). Vertex operator algebras associated to representations of affine and virasoro algebras . Duke Math. J. 66 ( 1 ): 123 – 168 .
- Kac , V. G. , Kazhdan , D. A. ( 1979 ). Structure of representations with highest weight of infinite-dimensional lie algebras . Advances in Mathematics 34 ( 1 ): 97 – 108 .
- Kac , V. G. , Wakimoto , M. ( 1988 ). Modular invariant representations of infinite-dimensional Lie algebras and superalgebras. Proc. Nat. Acad. Sci. U.S.A. 85(14): 4956–4960 .
- Kac , V. G. , Wakimoto , M. ( 1988 ). 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. Publ., Teaneck, NJ, 1989 .
- Kac , V. G. , Wakimoto , M. ( 2008 ). On rationality of W-algebras . Transformation Groups 13 ( 3–4 ): 671 – 713 .
- Kazhdan , D. , Lusztig , G. ( 1993 ). Tensor structures arising from affine Lie algebras. I, II. J. Amer. Math. Soc. 6(4):905–947, 949–1011 .
- Kazhdan , D. , Lusztig , G. ( 1994 ). Tensor structures arising from affine Lie algebras. III, IV, J. Amer. Math. Soc. 7(2):335–381, 383–453 .
- Lepowsky , J. , Li , H. ( 2004 ). Introduction to vertex operator algebras and their representations. Progress in Mathematics. Vol. 227. Boston, MA: Birkhäuser Boston, Inc .
- Meurman , A. , Primc , M. ( 1999 ). Annihilating fields of standard modules of sl(2, ℂ) and combinatorial identities. Vol. 137. Mem. Amer. Math. Soc.
- Perše , O. ( 2007 ). Vertex operator algebras associated to type B affine Lie algebras on admissible half-integer levels . J. Algebra 307 ( 1 ): 215 – 248 .
- Perše , O. ( 2008 ). Vertex operator algebras associated to certain admissible modules for affine Lie algebras of type A. Glas. Mat. Ser. III 43(63) (1):41–57 .
- Zhu , Y. ( 1990/1996 ). Vertex Operator Algebras, Elliptic Functions and Modular Forms, Ph.D. thesis, Yale University (1990); Modular invariance of characters of vertex operator algebras. J. Amer. Math. Soc. 9(1):237–302.
- Communicated by K. Misra.