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About a family of naturally graded no p-filiform Lie algebras.

L. M. CamachoJ. R. GómezA. J. González — 2005

Extracta Mathematicae

The knowledge of the natural graded algebras of a given class of Lie algebras offers essential information about the structure of the class. So far, the classification of naturally graded Lie algebras is only known for some families of p-filiform Lie algebras. In certain sense, if g is a naturally graded Lie algebra of dimension n, the first case of no p-filiform Lie algebras it happens when the characteristic sequence is (n-3,2,1). We present the classification of a particular family of these algebras...

Mathematical theory of musical scales.

M. J. Garmendia RodríguezJ. A. Navarro González — 1996

Extracta Mathematicae

Our aim is to look for precise definitions of musical concepts. In this work we present the concepts we have been able to derive from the concept of pitch (high-low aspect of musical sounds). Now, pitches being the primitive concept, they will not be defined from a previous concept, but from their mutual relationships.

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