References
- Benkart , G. and Moody , R. 1993 . Derivations, central extensions and affine Lie algebras . Algebras Groups Geometries , 3 : 456 – 492 .
- Berman , S. and Cox , B. 1994 . Enveloping algebras and representations of toroidal Lie algebras . Pacific J. Math. , 165 : 239 – 267 .
- Berman , S. and Billig , Y. 1999 . Irreducible representations for toroidal Lie algebras . J. Algebra , 221 : 188 – 231 .
- Billig , Y. 1998 . Principal vertex operator representations for toroidal Lie algebras . J. Math. Phys. , 39 : 3844 – 3864 .
- Billig , Y. 1999 . All extension of the KdV hierarchy arising from a representation of toroidal Lie algebra . J. Algebra , 217 : 40 – 67 .
- Cox , B. and Futorny , V. 2001 . Borel subalgebras and categories of highest weight modules for toroidal Lie algebras . J. Algebra , 236 : 1 – 28 .
- Eswara Rao , S. Generalization of irreducible modules for toroidal Lie algebras, preprint
- Eswara Rao , S. and Moody , R. V. 1994 . Vertex representations for N- toroidal Lie algebras and a generalization of the virasoro algebra . Comm. Math. Phys. , 159 : 239 – 264 .
- Fabbri , M. A. and Moody , R. V. 1994 . Irreducible representations of virasoro toroidal Lie algebras . Comm. Math. Phys. , 159 : 1 – 13 .
- Fabbri , M. A. and Okoh , F. 1999 . Representations of virasoro-heisenberg algebras and virasoro-toroidal algebras . Canadian J. Math. , 51 : 523 – 545 .
- Frenkel , I. B. 1985 . Representations of Kac-Moody algebras and dual resonance models . Lectures in Appl. Math. , 21 : 325 – 353 .
- Frenkel , I. B. and Kac , V. G. 1980 . Basic representations of affine Lie algebras and dual resonance models . Invent. Math. , 62 : 23 – 66 .
- Frenkel , I. B. , Lepowsky , J. and Meurman , A. 1989 . Vertex Operator Algebras and the Monster Boston : Academic Press .
- Gao , Y. 2000 . Vertex operators arising from the homogeneous realization ĝ l N . Comm. Math. Phys. , 211 : 745 – 777 .
- Jiang , C. and Meng , D. 2001 . Vertex representations for ν + 1-toroidal Lie algebra of type B l . J. Algebra , 246 : 564 – 593 .
- Kac , V. G. 1990 . Infinite Dimensional Lie Algebras , 3rd Cambridge, , UK : Cambridge University Press .
- Kac , V. G. , Kazhdan , D. A. , Lepowsky , J. and Wilson , R. L. 1981 . Realization of the basic representations of the Euclidean Lie algebras . Adv. in Math. , 42 : 83 – 112 .
- Lepowsky , J. and Wilson , R. L. 1978 . Construction of the affine Lie algebra . Commun. Math. Phys. , 62 : 43 – 53 .
- Lepowsky , J. and Wilson , R. L. 1981 . A new family of algebras underlying the Rogers-Ramanujan identities and generalizations . Proc. Nat. Acad. Sci. USA , 78 : 7254 – 7258 .
- Lepowsky , J. and Wilson , R. L. 1984 . The structure of standard modules, I: Universal algebras and the Rogers-Ramanujan identities . Invent. Math. , 77 : 199 – 290 .
- Moody , R. V. , Eswara Rao , S. and Yokonuma , T. 1990 . Toroidal lie algebras and vertex representations . Geometriae dedicata , 35 : 283 – 307 .
- Segal , G. 1981 . Unitary representations of some infinite-dimensional groups . Comm. Math. Phys. , 80 : 301 – 342 .
- Tan , S. 1999a . Principal construction of the toroidal Lie algebras of type A 1 . Math. Zeit. , 230 : 621 – 657 .
- Tan , S. 1999b . Vertex operator representations for toroidal Lie algebras of type B l . Commun. in Algebra , 27 : 3593 – 3618 .