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Volumn 39, Issue 7, 1998, Pages 3844-3864

Principal vertex operator representations for toroidal Lie algebras

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EID: 0032384475     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532472     Document Type: Article
Times cited : (32)

References (15)
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    • S. Eswara Rao and R. V. Moody, "Vertex representations for n-toroidal Lie algebras and a generalization of the Virasoro algebra," Commun. Math. Phys. 159, 239-264 (1994).
    • (1994) Commun. Math. Phys. , vol.159 , pp. 239-264
    • Eswara Rao, S.1    Moody, R.V.2
  • 4
    • 0002197536 scopus 로고
    • Realization of the basic representation of the Euclidean Lie algebras
    • V. G. Kac, D. A. Kazhdan, J. Lepowsky, and R. L. Wilson, "Realization of the basic representation of the Euclidean Lie algebras," Adv. Math. 42, 83-112 (1981).
    • (1981) Adv. Math. , vol.42 , pp. 83-112
    • Kac, V.G.1    Kazhdan, D.A.2    Lepowsky, J.3    Wilson, R.L.4
  • 5
    • 84972578178 scopus 로고
    • Enveloping algebras and representations of toroidal Lie algebras
    • S. Berman and B. Cox, "Enveloping algebras and representations of toroidal Lie algebras," Pacific J. Math. 165, 239-267 (1994).
    • (1994) Pacific J. Math. , vol.165 , pp. 239-267
    • Berman, S.1    Cox, B.2
  • 6
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    • unpublished
    • Y. Billig (unpublished).
    • Billig, Y.1
  • 7
    • 0002192599 scopus 로고    scopus 로고
    • Two-toroidal Lie algebra as current algebra of four-dimensional Kähler WZW model
    • T. Inami, H. Kanno, T. Ueno, and C.-S. Xiong, "Two-toroidal Lie algebra as current algebra of four-dimensional Kähler WZW model," Phys. Lett. B 399, 97-104 (1997).
    • (1997) Phys. Lett. B , vol.399 , pp. 97-104
    • Inami, T.1    Kanno, H.2    Ueno, T.3    Xiong, C.-S.4
  • 8
    • 0000675892 scopus 로고    scopus 로고
    • Higher-dimensional WZW model on Kähler manifold and toroidal Lie algebra
    • T. Inami, H. Kanno, and T. Ueno, "Higher-dimensional WZW model on Kähler manifold and toroidal Lie algebra," Phys. Lett. A 12, 2757-2764 (1997).
    • (1997) Phys. Lett. A , vol.12 , pp. 2757-2764
    • Inami, T.1    Kanno, H.2    Ueno, T.3
  • 9
    • 48549114033 scopus 로고
    • Kähler differentials and coverings of complex simple Lie algebras extended over a commutative algebra
    • C. Kassel, "Kähler differentials and coverings of complex simple Lie algebras extended over a commutative algebra," J. Pure Appl. Algebra 34, 265-275 (1985).
    • (1985) J. Pure Appl. Algebra , vol.34 , pp. 265-275
    • Kassel, C.1
  • 10
    • 0001473466 scopus 로고
    • Toroidal Lie algebras and vertex representations
    • R. V. Moody, S. Eswara Rao, and T. Yokonuma, "Toroidal Lie algebras and vertex representations," Geom. Ded. 35, 283-307 (1990).
    • (1990) Geom. Ded. , vol.35 , pp. 283-307
    • Moody, R.V.1    Eswara Rao, S.2    Yokonuma, T.3
  • 11
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    • Derivations, central extensions, and affine Lie algebras
    • G. M. Benkart and R. V. Moody, "Derivations, central extensions, and affine Lie algebras," Algebras Groups Geom. 3, 456-492 (1986).
    • (1986) Algebras Groups Geom. , vol.3 , pp. 456-492
    • Benkart, G.M.1    Moody, R.V.2
  • 12
    • 0001318371 scopus 로고
    • The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group
    • B. Kostant, "The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group," Am. J. Math. 81, 973-1032 (1959).
    • (1959) Am. J. Math. , vol.81 , pp. 973-1032
    • Kostant, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.