NONCOMMUTATIVE SYMMETRIC FUNCTIONS AND W-POLYNOMIALS

DOI10.1142/S021949880700251XzbMath1144.16021arXivmath/0606614MaRDI QIDQ3502808

André Leroy, Jonathan Delenclos

Publication date: 20 May 2008

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606614

zbMATH Keywords

skew polynomial ringsdivision ringsVandermonde matricesnoncommutative symmetric functionsWronskian matricesdecompositions of differential operatorslinear factorizations of Wedderburn polynomialsmonic linear polynomialsViète formulas

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Determinants, permanents, traces, other special matrix functions (15A15) Ordinary and skew polynomial rings and semigroup rings (16S36)

Related Items (11)

Sum-rank product codes and bounds on the minimum distance ⋮ NONCOMMUTATIVE POLYNOMIAL MAPS ⋮ Matrices that are integral over the base ring ⋮ Zeros, factorizations and least common multiples of quaternion polynomials ⋮ Skew differential Goppa codes and their application to McEliece cryptosystem ⋮ A note on integer-valued skew polynomials ⋮ A construction of self-dual skew cyclic and negacyclic codes of length \(n\) over \(\mathbb{F}_{p^n}\) ⋮ Factorization theory: from commutative to noncommutative settings. ⋮ Roos bound for skew cyclic codes in Hamming and rank metric ⋮ An intrinsic algebraic setting for poles and zeros of linear time-varying systems ⋮ Factorizations of Elements in Noncommutative Rings: A Survey

Cites Work

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• Vandermonde and Wronskian matrices over division rings
• Exercises in classical ring theory.
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• Duo rings and Ore extensions.
• Quasideterminants
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• Ore extensions over duo rings.
• Algebraic andF-Independent Sets in 2-Firs
• Derivees logarithmiques pour une s-derivation algebrique
• On strongly bounded rings and duo rings
• Quadratic linear algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials
• Invariant polynomials in the free skew field

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