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(-1, 1) and Generalized Kac-Moody Algebras

Asian journal of algebra, 2015-01, Vol.8 (1), p.6-6

ISSN: 1994-540X ;EISSN: 2077-2025

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  • Title:
    (-1, 1) and Generalized Kac-Moody Algebras
  • Author: Jayalakshmi, K
  • Subjects: Algebra ; Asian ; Classification ; Commutators ; Flexibility ; Lie groups ; Semifabricated products
  • Is Part Of: Asian journal of algebra, 2015-01, Vol.8 (1), p.6-6
  • Description: Albert proposed the problem of classifying all power-associative flexible Lie admissible algebras, whose commutator algebras are semi simple Lie algebras. Without assuming flexibility, Benkart classified all third power-associative Lie admissible algebras whose commutator algebras are semisimple Lie algebras. Myung classified all third power-associative Lie admissible algebras associated with the Virasoro algebra and the Witt algebra. Here, Jayalakshmi determines all third power-associative (-1, 1) algebras, whose commutator algebras are generalized Kac-Moody algebras.
  • Language: English
  • Identifier: ISSN: 1994-540X
    EISSN: 2077-2025
  • Source: Science Alert Free
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