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Volumn 64, Issue 2, 2003, Pages 155-169

Abelian extensions of the group of diffeomorphisms of a torus

Author keywords

abelian extensions; group of diffeomorphisms; Virasoro Bott group

Indexed keywords


EID: 9744261678     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025750704319     Document Type: Article
Times cited : (7)

References (17)
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  • 3
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    • On the characteristic classes of groups of diffeomorphisms
    • Bott, R.: On the characteristic classes of groups of diffeomorphisms, Enseign. Math. (2) 23 (1977), 209-220.
    • (1977) Enseign. Math. (2) , vol.23 , pp. 209-220
    • Bott, R.1
  • 5
    • 21344493949 scopus 로고
    • Vertex representations for N-toroidal Lie algebras and a generalization of the Virasoro algebra
    • Eswara, R. S. and Moody, R. V.: Vertex representations for N-toroidal Lie algebras and a generalization of the Virasoro algebra, Comm. Math. Phys. 159 (1994), 239-264.
    • (1994) Comm. Math. Phys. , vol.159 , pp. 239-264
    • Eswara, R.S.1    Moody, R.V.2
  • 6
    • 0030549716 scopus 로고    scopus 로고
    • Four-dimensional realization of two-dimensional current groups
    • Frenkel, I. and Khesin, B.: Four-dimensional realization of two-dimensional current groups, Comm. Math. Phys. 178 (1996), 541-562.
    • (1996) Comm. Math. Phys. , vol.178 , pp. 541-562
    • Frenkel, I.1    Khesin, B.2
  • 8
    • 0010060784 scopus 로고
    • Cohomology of Lie algebras of vector fields with nontrival coefficients
    • Gelfand, I. M. and Fuks, D. B.: Cohomology of Lie algebras of vector fields with nontrival coefficients, Funktsional. Anal. i Prilozhen. 4 (1970), 10-25.
    • (1970) Funktsional. Anal. I Prilozhen. , vol.4 , pp. 10-25
    • Gelfand, I.M.1    Fuks, D.B.2
  • 9
    • 9744270239 scopus 로고
    • On the Gelfand-Fuks cohomology
    • Haefliger, A.: On the Gelfand-Fuks cohomology, Enseign. Math. (2) 24 (1978), 143-160.
    • (1978) Enseign. Math. (2) , vol.24 , pp. 143-160
    • Haefliger, A.1
  • 11
    • 0033246644 scopus 로고    scopus 로고
    • Lowest-energy representations of non-centrally extended diffeomorphism algebras
    • Larsson, T. A.: Lowest-energy representations of non-centrally extended diffeomorphism algebras, Comm. Math. Phys. 201 (1999), 461-470.
    • (1999) Comm. Math. Phys. , vol.201 , pp. 461-470
    • Larsson, T.A.1
  • 12
    • 84862474575 scopus 로고
    • Formes caractéristiques d'un feuilletage et classes de cohomologie de l'algebre des vecteurs tangents à valeurs dans les formes normales
    • Lichnerowicz, A.: Formes caractéristiques d'un feuilletage et classes de cohomologie de l'algebre des vecteurs tangents à valeurs dans les formes normales, C.R. Acad. Sci. Paris Sér. I Math. 296 (1983), 67-71.
    • (1983) C.R. Acad. Sci. Paris Sér. I Math. , vol.296 , pp. 67-71
    • Lichnerowicz, A.1
  • 13
    • 9744285263 scopus 로고    scopus 로고
    • Distinguished essential extensions of infinite dimensional classical Lie algebras
    • Deformation Theory and Symplectic Geometry (Ascona, 1996), Kluwer, Dordrecht
    • Lichnerowicz, A.: Distinguished essential extensions of infinite dimensional classical Lie algebras, In: Deformation Theory and Symplectic Geometry (Ascona, 1996), Math. Phys. Stud. 20, Kluwer, Dordrecht, 1997, pp. 327-332.
    • (1997) Math. Phys. Stud. , vol.20 , pp. 327-332
    • Lichnerowicz, A.1
  • 15
    • 34250476184 scopus 로고
    • Cohomology of the Lie algebra of vector fields with coefficients in a trivial identity representation
    • Losik, M. V.: Cohomology of the Lie algebra of vector fields with coefficients in a trivial identity representation, Funktsional. Anal. i Prilozhen. 6 (1972), 24-36.
    • (1972) Funktsional. Anal. I Prilozhen. , vol.6 , pp. 24-36
    • Losik, M.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.