NON-COMMUTATIVE REPRESENTATIONS OF FAMILIES OF k2 COMMUTATIVE POLYNOMIALS IN 2k2 COMMUTING VARIABLES

DOI10.1142/S0218196713500422zbMath1320.16010arXiv1212.0891OpenAlexW2073781122MaRDI QIDQ5746938

Harry Dym, Caleb Meier, J. William Helton

Publication date: 11 February 2014

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0891

zbMATH Keywords

polynomial identitiesnoncommutative polynomialsgeneric matrices

Mathematics Subject Classification ID

Computational aspects and applications of commutative rings (13P99) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Cites Work

• Singularities of rational functions and minimal factorizations: the noncommutative and the commutative setting
• Interpolation problems for Schur multipliers on the Drury--Arveson space: from Nevanlinna--Pick to abstract interpolation problem
• Computer assistance for ``discovering formulas in system engineering and operator theory
• Pure states, positive matrix polynomials and sums of hermitian squares
• A note on values of noncommutative polynomials

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