TRACE IDENTITIES AND CENTRAL POLYNOMIALS IN THE MATRIX SUPERALGEBRAS $ M_{n,k}$

DOI10.1070/SM1987v056n01ABEH003031zbMath0604.16019OpenAlexW1969981660MaRDI QIDQ3741755

Yuri P. Razmyslov

Publication date: 1987

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1987v056n01abeh003031

zbMATH Keywords

trace identitiessupertracematrix superalgebrascentral polynomialsrepresentation theory of symmetric groupsideal of trace identities

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Representations of finite symmetric groups (20C30) Superalgebras (17A70) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75)

Related Items (9)

Minimal \(J\)-trace identities for \(M(n,n)\) and queer trace identities for \(M_{n}(E)\) ⋮ On the codimensions of the verbally prime P.I. algebras ⋮ An analog of the Amitsur-Levitzki theorem for matrix superalgebras. ⋮ Tracial smooth functions of non-commuting variables and the free Wasserstein manifold ⋮ ℤ2 and ℤ-graded central polynomials of the Grassmann algebra ⋮ Azumaya-like properties of verbally prime algebras ⋮ \(J\)-trace identities and invariant theory. ⋮ Primeness property for graded central polynomials of verbally prime algebras ⋮ T-ideals and superAzumaya algebras

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