The polarization theorem and polynomial identities for matrix functions

zbMath1385.15001MaRDI QIDQ1709111

Georgiĭ Petrovich Egorychev

Publication date: 27 March 2018

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/journal/downloadArticle?article=_c583761d757e4db4937fe4e9ff7d3b44&lang=rus

zbMATH Keywords

determinantspermanentspolynomial identitiesmatrix functionsnoncommutative variablespolarization theorem

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrix exponential and similar functions of matrices (15A16)

Cites Work

• Unnamed Item
• A polynomial identity for the permanent
• New polynomial identities for determinants over commutative rings
• On an \(n\)-Lie algebra of Jacobians
• Simple quotient algebras and subalgebras of Jacobian algebras

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