Search results for " non associative"

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Polynomial Identities of Algebras of Small Dimension

2009

It is well known that given an associative algebra or a Lie algebra A, its codimension sequence c n (A) is either polynomially bounded or grows at least as fast as 2 n . In [2] we proved that for a finite dimensional (in general nonassociative) algebra A, dim A = d, the sequence c n (A) is also polynomially bounded or c n (A) ≥ a n asymptotically, for some real number a > 1 which might be less than 2. Nevertheless, for d = 2, we may take a = 2. Here we prove that for d = 3 the same conclusion holds. We also construct a five-dimensional algebra A with c n (A) < 2 n .

CombinatoricsDiscrete mathematicsSequencePolynomialAlgebra and Number TheoryBounded functionAssociative algebraLie algebraAlgebra representationCodimensionpolynomial identity non associativeReal numberMathematicsCommunications in Algebra
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A short survey on Lie theory and Finsler geometry

2017

The aim of this chapter is to provide readers with a common thread to the many topics dealt with in this book, which is intermediate and which aims at postgraduate students and young researchers, wishing to intrigue those who are not experts in some of the topics. We also hope that this book will contribute in encouraging new collaborations among disciplines which have stemmed from related problems. In this context, we take the opportunity to recommend the book by Hawkins [18]. A basic bibliography is outlined between the lines.

Settore MAT/05 - Analisi MatematicaBibliographyFinsler manifoldThread (computing)Lie theorySettore MAT/03 - GeometriaTopologyGeneralLiterature_REFERENCE(e.g.dictionariesencyclopediasglossaries)MathematicsEpistemologyLie groups and Lie algebras non associative algebra Finsler Geometry
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