Footnotes to a paper of Domokos. I.

DOI10.1016/j.jalgebra.2015.03.008zbMath1334.16021arXiv1501.03236OpenAlexW2039146712MaRDI QIDQ2345554

Allan Berele

Publication date: 22 May 2015

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.03236

zbMATH Keywords

wreath productsPoincaré seriestrace identitiesinvariant theorymatrix invariantsdouble centralizersalgebras of matricesalgebras of polynomial invariantstrace polynomials

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Trace rings and invariant theory (associative rings and algebras) (16R30) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Cites Work

• Unnamed Item
• Invariants and the ring of generic matrices
• Wreath products and P.I. algebras
• The representations of wreath products via double centralizing theorems
• A formal inverse to the Cayley-Hamilton theorem
• Explicit rational forms for the Poincaré series of the trace rings of generic matrices
• Identities of bilinear mappings and graded polynomial identities of matrices
• Linear homogeneous Diophantine equations and magic labelings of graphs
• Invariants of quivers and wreath products

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