A functional interpretation of the ring of matrix invariants

DOI10.1016/0021-8693(91)90055-DzbMath0714.16017WikidataQ117378985 ScholiaQ117378985MaRDI QIDQ750572

Zinovy Reichstein

Publication date: 1991

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

zbMATH Keywords

ring of invariantsirreducible representationsmatrix invariantstrace ringstrace functionuniversal Cayley-Hamilton algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) 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)

Related Items (2)

On Automorphisms of Matrix Invariants ⋮ On automorphisms of matrix invariants induced from the trace ring

Cites Work

• A formal inverse to the Cayley-Hamilton theorem
• The invariant theory of \(n\times n\) matrices
• On Azumaya algebras and finite dimensional representations of rings
• Trace rings of generic 2 by 2 matrices
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