Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture

DOI10.3842/SIGMA.2020.071zbMath1459.16012arXiv1909.07785MaRDI QIDQ2217946

Roman Yavich, Sergey Malev, Louis Halle Rowen, Alexei Kanel-Belov

Publication date: 12 January 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.07785

zbMATH Keywords

PI algebrasnoncommutative polynomialsL'vov-Kaplansky conjectureDeligne trickmultilinear polynomial evaluationspower central polynomials

Mathematics Subject Classification ID

Trace rings and invariant theory (associative rings and algebras) (16R30) Finite-dimensional division rings (16K20) Lie algebras and Lie superalgebras (17B99) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Identities other than those of matrices over commutative rings (16R40)

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