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Pairing problem of generators in Kac-Moody algebras

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Chinese Science Bulletin

Abstract

The following result is proved: in any Kac-Moody algebrag (A), (i) given any non-central elementh in the Cartan subalgebra h, or (ii) given any real root vectorx β, β∈Δre. There exists y ∈g(A) such that the subalgebra generated byy and h or y and xβ contains the derived algebrag′ (A) ofg(A).

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Authors and Affiliations

  1. Department of Mathematics, Capital Normal University, 100037, Beijing, China

    Caihui Lu

Authors
  1. Caihui Lu
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Lu, C. Pairing problem of generators in Kac-Moody algebras. Chin. Sci. Bull. 43, 1872–1879 (1998). https://doi.org/10.1007/BF02883462

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  • DOI: https://doi.org/10.1007/BF02883462

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