Graded Lie algebras of maximal class in characteristic p, generated by two elements of degree 1 and p

Scarbolo, Claudio (2014) Graded Lie algebras of maximal class in characteristic p, generated by two elements of degree 1 and p. PhD thesis, University of Trento.

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Abstract

Lie algebras of maximal class (or filiform Lie algebras) are the Lie-theoretic analogue of pro-p-groups of maximal class. In particular, they are 2-generated. If one further assumes that the algebras are graded over the positive integers, then over a field of characteristic p it has been shown that a classification is possible provided one generator has degree 1 and the other has either degree 1 or 2. In this thesis I give a classification of graded Lie algebras of maximal class with generators of degree 1 and p, respectively.

Item Type:Doctoral Thesis (PhD)
Doctoral School:Mathematics
PhD Cycle:XXVI
Subjects:Area 01 - Scienze matematiche e informatiche > MAT/02 ALGEBRA
Repository Staff approval on:09 Apr 2014 14:42

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