Search results for "Schur algebra"

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A restriction on the schur multiplier of nilpotent lie algebras

2011

An improvement of a bound of Yankosky (2003) is presented in this paper, thanks to a restriction which has been recently obtained by the authors on the Schur multiplier M(L) of a finite dimensional nilpotent Lie algebra L. It is also described the structure of all nilpotent Lie algebras such that the bound is attained. An important role is played by the presence of a derived subalgebra of maximal dimension. This allows precision on the size of M(L). Among other results, applications to the non-abelian tensor square L ⊗ L are illustrated.

Discrete mathematicsPure mathematicsAlgebra and Number TheorySchur multiplierSchur's lemmanilpotent Lie algebrasSchur algebrahomology of Lie algebraSchur's theoremLie conformal algebraNilpotent Lie algebraSettore MAT/02 - AlgebraAdjoint representation of a Lie algebraRepresentation of a Lie groupNilpotent groupMathematics::Representation TheoryMathematics
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A characterization of the Schur property through the disk algebra

2017

[EN] In this paper we give a new characterization of when a Banach space E has the Schur property in terms of the disk algebra. We prove that E has the Schur property if and only if A(D, E) = A(D,E-w). (C) 2016 Elsevier Inc. All rights reserved.

Discrete mathematicsPure mathematicsMathematics::CombinatoricsBanach spaceApplied Mathematics010102 general mathematicsSchur's lemmaSchur algebra01 natural sciencesSchur's theoremSchur polynomialSchur propertySchur decomposition0103 physical sciencesSchur complement010307 mathematical physics0101 mathematicsDisk algebraMathematics::Representation TheoryMATEMATICA APLICADAAnalysisDisk algebraMathematicsSchur product theorem
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