Central polynomials and matrix invariants

DOI10.1007/BF02785544zbMath0874.16017OpenAlexW2053836997MaRDI QIDQ677453

Angela Valenti, Antonio Giambruno

Publication date: 24 September 1997

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02785544

zbMATH Keywords

polynomial identities of matricescharacters of symmetric groupsmatrix invariantscentral identitiescentral polynomials of matrices

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Trace rings and invariant theory (associative rings and algebras) (16R30)

Related Items (4)

A construction of swap or switch polynomials ⋮ Growth for algebras satisfying polynomial identities. ⋮ Weak polynomial identities and their applications ⋮ Graded central polynomials for the algebra \(M_n(K)\).

Cites Work

• Unnamed Item
• A conjecture of Regev about the Capelli polynomial
• The method of creative telescoping
• The invariant theory of \(n\times n\) matrices
• New central polynomials for the matrix algebra
• Central polynomials for matrix rings
• Central and weak identities for matrices
• The polynomial identities of matrices in characteristic zero
• ON A PROBLEM OF KAPLANSKY

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