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Derived Lengths of Symmetric Poisson Algebras

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Book cover Polynomial Identities in Algebras

Part of the book series: Springer INdAM Series ((SINDAMS,volume 44))

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Abstract

Let L be a Lie algebra over a field of positive characteristic. We survey the known results about the Lie structure of the symmetric Poisson algebra S(L) and the truncated symmetric Poisson algebra s(L) of L. In particular, some results about the derived lenghts of s(L) are discussed.

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica e Fisica “Ennio De Giorgi”, Università del Salento, Lecce, Italy

    Salvatore Siciliano

Authors
  1. Salvatore Siciliano
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Correspondence to Salvatore Siciliano .

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Editors and Affiliations

  1. Dipartimento di Matematica, Informatica ed Economia, Università della Basilicata, Potenza, Italy

    Onofrio Mario Di Vincenzo

  2. Dipartimento di Matematica e Informatica, Università di Palermo, Palermo, Italy

    Antonio Giambruno

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Siciliano, S. (2021). Derived Lengths of Symmetric Poisson Algebras. In: Di Vincenzo, O.M., Giambruno, A. (eds) Polynomial Identities in Algebras. Springer INdAM Series, vol 44. Springer, Cham. https://doi.org/10.1007/978-3-030-63111-6_21

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