Generators and relations of invariants of 2 × 2 matrices

DOI10.1080/00927879408824938zbMath0813.16015OpenAlexW2062570354MaRDI QIDQ4288226

Helmer Aslaksen, Eng-Chye Tan, Chen-Bo Zhu

Publication date: 23 May 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408824938

zbMATH Keywords

syzygiesclassical groupsactionminimal systems of generatorsalgebra of polynomial invariants

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Trace rings and invariant theory (associative rings and algebras) (16R30)

Related Items (4)

Algebraic independence in \(\mathrm{SL}(3, \mathbb C)\) character varieties of free groups ⋮ Rank 1 character varieties of finitely presented groups ⋮ Minimal affine coordinates for SL\((3,\mathbb C)\) character varieties of free groups ⋮ Defining relations of invariants of two \(3\times 3\) matrices.

Cites Work

• Unnamed Item
• Computing with 2\(\times 2\) matrices
• Invariants and the ring of generic matrices
• Methods for computing in algebraic geometry and commutative algebra
• The invariant theory of \(n\times n\) matrices
• Invariant theory of special orthogonal groups

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