Evaluations of Noncommutative Polynomials on Algebras: Methods and Problems, and the L'vov-Kaplansky Conjecture

Let be a polynomial in several non-commuting variables with coefficients in a field of arbitrary characteristic. It has been conjectured that for any , for multilinear, the image of evaluated on the set Mₙ() of by matrices is either zero, or the set of scalar matrices, or the set slₙ() of matr...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2020
Hauptverfasser: Kanel-Belov, Alexei, Malev, Sergey, Rowen, Louis, Yavich, Roman
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2020
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/210777
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Evaluations of Noncommutative Polynomials on Algebras: Methods and Problems, and the L'vov-Kaplansky Conjecture. Alexei Kanel-Belov, Sergey Malev, Louis Rowen and Roman Yavich. SIGMA 16 (2020), 071, 61 pages

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