Search results for "Power sum symmetric polynomial"

showing 4 items of 4 documents

On distinguished polynomials and their projections

2012

We study projections and injections between projective tensor products spaces or spaces of polynomials and we show that the example of a polynomial constructed in (4), that is neither p-dominated nor compact, can be identified with the projection map of the symmetric tensor product onto the space. Also we give a characterization of the weak and quasi approximation properties on symmetric tensor products.

Pure mathematicsTensor productTensor product of algebrasPower sum symmetric polynomialGeneral MathematicsTopological tensor productMathematical analysisTensor product of Hilbert spacesSymmetric tensorElementary symmetric polynomialTensor densityMathematicsAnnales Academiae Scientiarum Fennicae Mathematica
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The algebra of symmetric analytic functions on L∞

2017

We consider the algebra of holomorphic functions on L∞ that are symmetric, i.e. that are invariant under composition of the variable with any measure-preserving bijection of [0, 1]. Its spectrum is identified with the collection of scalar sequences such that is bounded and turns to be separable. All this follows from our main result that the subalgebra of symmetric polynomials on L∞ has a natural algebraic basis.

Power sum symmetric polynomialTriple systemGeneral Mathematics010102 general mathematicsSubalgebraStanley symmetric functionComplete homogeneous symmetric polynomial01 natural sciences010101 applied mathematicsAlgebraSymmetric polynomialComputingMethodologies_DOCUMENTANDTEXTPROCESSINGElementary symmetric polynomial0101 mathematicsRing of symmetric functionsMathematicsProceedings of the Royal Society of Edinburgh: Section A Mathematics
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The convolution operation on the spectra of algebras of symmetric analytic functions

2012

Abstract We show that the spectrum of the algebra of bounded symmetric analytic functions on l p , 1 ≤ p + ∞ with the symmetric convolution operation is a commutative semigroup with the cancellation law for which we discuss the existence of inverses. For p = 1 , a representation of the spectrum in terms of entire functions of exponential type is obtained which allows us to determine the invertible elements.

Discrete mathematicsPower sum symmetric polynomialTriple systemSpectra of algebrasApplied MathematicsSymmetric polynomialsStanley symmetric functionComplete homogeneous symmetric polynomialSymmetric convolutionSymmetric functionEntire functions of exponential typeElementary symmetric polynomialRing of symmetric functionsPolynomials and analytic functions on Banach spacesAnalysisMathematicsJournal of Mathematical Analysis and Applications
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Degrees of irreducible characters of the symmetric group and exponential growth

2015

We consider sequences of degrees of ordinary irreducible S n S_n - characters. We assume that the corresponding Young diagrams have rows and columns bounded by some linear function of n n with leading coefficient less than one. We show that any such sequence has at least exponential growth and we compute an explicit bound.

CharacterPower sum symmetric polynomialGeneral MathematicsApplied MathematicsMathematicsofComputing_GENERALComplete homogeneous symmetric polynomialExponential polynomialExponential growthCombinatoricsRepresentation theory of the symmetric groupSymmetric groupElementary symmetric polynomialMathematics (all)Ring of symmetric functionsCharacter groupSymmetric groupMathematics
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