Algebras de Lie finitamente apresentaveis

by da Silva, Viviane Moretto

Abstract (Summary)
In this work we study the classification of finitely presented abelian-by-finite dimensional Lie algebras given in [4]. If L is a Lie algebra, an extension of an abelian ideal A by a finite dimensional Lie algebra L/A then L is finitely presented if and only if A X A is finitely generated as U(L/A)-module via the diagonal action, where U(L/A) is the universal enveloping algebra of L/A. We study in detail the result that finite generation of A X A over U(L/A) implies finite presentability of L
This document abstract is also available in Portuguese.
Bibliographical Information:

Advisor:Dessislava Hristova Kochloukova; Dessislava Hristova Kochloukova [Orientador]; Caio Jose Colleti Negreiros; Lucia Satie Ikemoto Murakami

School:Universidade Estadual de Campinas

School Location:Brazil

Source Type:Master's Thesis

Keywords:Lie algebras Rings noetherian Nonassociative


Date of Publication:05/06/2005

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