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Functional Analysis and Its Applications

, Volume 20, Issue 2, pp 103–113 | Cite as

Singular vectors in Verma modules over Kac—Moody algebras

  • F. G. Malikov
  • B. L. Feigin
  • D. B. Fuks
Article

Keywords

Functional Analysis Singular Vector Moody Algebra 
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Literature Cited

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    B. L. Feigin and D. B. Fuchs, "Representations of the Virasoro algebra," in: Representations of Infinite-Dimensional Lie Groups and Lie Algebras, Gordon and Breach, New York (1986).Google Scholar
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    V. G. Kats, "Simple irreducible Lie algebras of finite growth," Izv. Akad. Nauk SSSR, Ser. Mat.,32, 1923–1967 (1968).Google Scholar
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    V. G. Kats, "Infinite-dimensional Lie algebras and the Dedekind η-function," Funkts. Anal. Prilozhen.,8, No. 1, 77–78 (1974).Google Scholar
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    V. G. Kac, Infinite Dimensional Lie Algebras, Birkhauser (1983).Google Scholar
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    V. G. Kac and D. A. Kazhdan, "Structure of representations with highest weight of infinite dimensional Lie algebras," Adv. Math.,34, 97–108 (1979).Google Scholar
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    V. G. Kac and D. H. Peterson, "Infinite dimensional Lie algebras, theta functions and modular forms," Adv. Math.,50 (1983).Google Scholar
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    A. Rocha-Caridi and N. R. Wallach, "Highest weight modules over graded Lie algebras: resolutions, filtrations and character formulas," Trans. Am. Math. Soc.,277, No. 1, 133–162 (1983).Google Scholar
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    D. P. Zhelobenko, "Introduction to the theory of S-algebras over reductive Lie algebras," in: Representations of Infinite-Dimensional Lie Groups and Lie Algebras, Gordon and Breach, New York (1986).Google Scholar

Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • F. G. Malikov
  • B. L. Feigin
  • D. B. Fuks

There are no affiliations available

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