Generic \(2\times 2\) matrices with involution

DOI10.1007/BF02567621zbMath0814.16019MaRDI QIDQ1331750

Helmer Aslaksen, Eng-Chye Tan

Publication date: 25 August 1994

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155968

zbMATH Keywords

linear basisring of generic matricestranspose involution

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Trace rings and invariant theory (associative rings and algebras) (16R30)

Cites Work

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• Computing with 2\(\times 2\) matrices
• Young diagrams and determinantal varieties
• The Poincaré series of the ring of 2x2 generic matrices
• The invariant theory of \(n\times n\) matrices
• A characteristic free approach to invariant theory
• Matrices with involution and invariant theory
• Invariant theory of special orthogonal groups
• Algebraic invariants for a set of matrices
• Trace rings of generic 2 by 2 matrices
• $\mathrm{SO}(2)$ invariants of a set of $2 \times 2$ matrices.
• Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution

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