Orthogonal invariants of a matrix of order four and applications

DOI10.1016/j.jpaa.2005.02.011zbMath1084.14045OpenAlexW2129876245MaRDI QIDQ2570180

Mark L. MacDonald, Dragomir Ž. Djoković

Publication date: 26 October 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2005.02.011

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Geometric invariant theory (14L24) Classical groups (algebro-geometric aspects) (14L35)

Related Items (5)

Unitarily achievable zero patterns and traces of words in \(A\) and \(A\) ⋮ Minimal system of generators for O(4)-invariants of two skew-symmetric matrices ⋮ On orthogonal and special orthogonal invariants of a single matrix of small order ⋮ Tridiagonal forms in low dimensions ⋮ Indecomposable orthogonal invariants of several matrices over a field of positive characteristic

Uses Software

• Maple
• SINGULAR

Cites Work

• The invariant theory of \(n\times n\) matrices
• Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall
• A new method for calculating Hilbert series
• Unitary tridiagonalization in \(M(4,\mathbb{C})\)
• Computational invariant theory
• Tridiagonal normal forms for orthogonal similarity classes of symmetric matrices
• A complete set of unitary invariants for operators generating finite \(W^ *\)-algebras of type I
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