Algebraic invariants for a set of matrices

DOI10.1007/BF02196663zbMath0273.15024MaRDI QIDQ2264836

K. S. Sibirskij

Publication date: 1968

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (27)

Cayley Hamilton algebras ⋮ Generic \(2\times 2\) matrices with involution ⋮ Representation rings of quantum groups. ⋮ Racah algebras, the centralizer \(Z_n(\mathfrak{sl}_2)\) and its Hilbert-Poincaré series ⋮ The artin-schofield theorem and some applications ⋮ Defining relations of the noncommutative trace algebra of two \(3\times 3\) matrices. ⋮ The E-eigenvectors of tensors ⋮ Generating invariant rings of quivers in arbitrary characteristic ⋮ Matrix identities with forms. ⋮ Generating sets for coordinate rings of character varieties ⋮ Unnamed Item ⋮ Algorithms for orbit closure separation for invariants and semi-invariants of matrices ⋮ Free relations for matrix invariants in the modular case ⋮ Applications of Multisymmetric Syzygies in Invariant Theory ⋮ Minimal system of generators for O(4)-invariants of two skew-symmetric matrices ⋮ Rank 1 character varieties of finitely presented groups ⋮ Defining relations of invariants of two \(3\times 3\) matrices. ⋮ Conditions satisfied by characteristic polynomials in fields and division algebras ⋮ Separating invariants for \(2 \times 2\) matrices ⋮ Invariants of quivers under the action of classical groups ⋮ Uniform matrix product states from an algebraic geometer's point of view ⋮ Indecomposable orthogonal invariants of several matrices over a field of positive characteristic ⋮ Rings of matrix invariants in positive characteristic ⋮ Invariants and the ring of generic matrices ⋮ An algorithmic approach to Chevalley’s Theorem on images of rational morphisms between affine varieties ⋮ The linear span of uniform matrix product states ⋮ On automorphisms of matrix invariants induced from the trace ring

Cites Work

• The theory of matrix polynomials and its application to the mechanics of isotropic continua
• Integrity bases for a symmetric tensor and a vector. The crystal classes
• A complete set of unitary invariants for operators generating finite \(W^ *\)-algebras of type I
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