On the Lie structure of the Skew elements of a prime superalgebra with superinvolution

  1. Gómez-Ambrosi, C. 1
  2. Laliena, J. 2
  3. Shestakov, I.P. 3
  1. 1 Universidad de Zaragoza
    info

    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  3. 3 Sobolev Institute of Mathematics
    info

    Sobolev Institute of Mathematics

    Novosibirsk, Rusia

    ROR https://ror.org/00shc0s02

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Revista:
Communications in Algebra

ISSN: 0092-7872

Año de publicación: 2000

Volumen: 28

Número: 7

Páginas: 3277-3291

Tipo: Artículo

DOI: 10.1080/00927870008827024 SCOPUS: 2-s2.0-0034338102 WoS: WOS:000087745300013 GOOGLE SCHOLAR

Otras publicaciones en: Communications in Algebra

Resumen

We investigate the Lie structure of the Lie superalgebra K of skew elements of a prime associative superalgebra A with superinvolution. It is proved that if A is not a central order in a Clifford superalgebra of dimension at most 16 over the center then any Lie ideal of K or [K, K] contains [J ∩ K, K] for some nonzero ideal J of A or is contained in the even part of the center of A.