(25). An Artinian theory for Lie algebras (Survey)


Autores: A. Fernández López, E. García y M. Gómez Lozano. 

Revista: From Lie Algebras to Quantum Groups (Coimbra, Portugal, 28-30 June, 2006)

Abstract:We summarize in this contribution the main results of our paper [5]. Only those definitions which are necessary to understand the statements are provided, but no proofs, which can be found in [27]. 

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ISBN:978-989-95011-1-9

e root system associated to the covering grid. As a corollary one obtains a finite $\ZZ$-grading $L=L_{-n} \oplus \cdots \oplus L_n$ such that $B=L_n$. In particular, our assumption on $B$ holds for abelian inner ideals of finite length in nondegenerate Lie algebras.