Graded Lie algebras of maximal class of type p

نویسندگان

چکیده

The algebras of the title are infinite-dimensional graded Lie L=?i=1?Li, over a field positive characteristic p, which generated by an element degree 1 and satisfy [Li,L1]=Li+1 for i?p. In case p=2 such were classified Caranti Vaughan-Lee in 2003. We announce extension that classification to arbitrary prime characteristic, prove several major steps its proof.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2021

ISSN: ['1090-266X', '0021-8693']

DOI: https://doi.org/10.1016/j.jalgebra.2021.08.013