On a minimal set of generators for the invariants of 3 × 3 matrices

DOI10.1080/00927878908823740zbMath0672.16016OpenAlexW2148651113MaRDI QIDQ3825206

Marilena Pittaluga, Silvana Abeasis

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00927878908823740

zbMATH Keywords

algorithmminimal set of generatorspolynomial identitygeneric n\(\times n\) matricesinvariants of matricesgeneric matrix algebrageneric trace ringinvariant algebraalgebras withmultilinear generating elements

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Representations of finite symmetric groups (20C30) Vector and tensor algebra, theory of invariants (15A72) Rings with polynomial identity (16Rxx)

Related Items

Generators, relations and symmetries in pairs of \(3\times 3\) unimodular matrices ⋮ Defining relations of the noncommutative trace algebra of two \(3\times 3\) matrices. ⋮ Generating sets for coordinate rings of character varieties ⋮ Algebraic independence in \(\mathrm{SL}(3, \mathbb C)\) character varieties of free groups ⋮ Syzygies for the vector invariants of the dihedral group ⋮ Relatively Free Algebras with the Identityx³ = 0^# ⋮ Defining relations of minimal degree of the trace algebra of \(3\times 3\) matrices. ⋮ Minimal affine coordinates for SL\((3,\mathbb C)\) character varieties of free groups ⋮ Defining relations of invariants of two \(3\times 3\) matrices. ⋮ DEFINING RELATIONS OF LOW DEGREE OF INVARIANTS OF TWO 4 × 4 MATRICES ⋮ Poisson geometry of 𝑆𝐿(3,ℂ)-character varieties relative to a surface with boundary ⋮ Character varieties

Cites Work

• The deformation of a membrane formed by inextensible cords
• The invariants of six symmetric \(3 \times 3\) matrices
• The invariant theory of \(n\times n\) matrices

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