Determinants as combinatorial summation formulas over an algebra with a unique \(n\)-ary operation

DOI10.26516/1997-7670.2018.26.121zbMath1409.15006OpenAlexW2903947162WikidataQ128708968 ScholiaQ128708968MaRDI QIDQ1717128

Georgiĭ Petrovich Egorychev

Publication date: 7 February 2019

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

Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1286

zbMATH Keywords

quantum computersdeterminants and permanentsnoncommutative and multioperator algebraspolarization and inclusion-conclusion theorems

Mathematics Subject Classification ID

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

Uses Software

• ROBBINS

Cites Work

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• Determinants of matrices over noncommutative rings
• Minor identities for quasi-determinants and quantum determinants
• New polynomial identities for determinants over commutative rings
• On an \(n\)-Lie algebra of Jacobians
• Simple quotient algebras and subalgebras of Jacobian algebras
• Advanced determinant calculus: a complement
• MULTIOPERATOR RINGS AND ALGEBRAS

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