On orthogonal and special orthogonal invariants of a single matrix of small order

DOI10.1080/03081080701669333zbMath1167.13002arXiv0709.0146OpenAlexW2159230665MaRDI QIDQ3633145

Dragomir Ž. Djoković

Publication date: 17 June 2009

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.0146

zbMATH Keywords

Poincaré seriesminimal set of generatorspolynomial invariantsHironaka decomposition

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Classical groups (algebro-geometric aspects) (14L35) Special aspects of infinite or finite groups (20F99)

Related Items

Separating invariants of three nilpotent \(3\times 3\) matrices ⋮ Minimal system of generators for O(4)-invariants of two skew-symmetric matrices ⋮ Non-commutative Harmonic Oscillators ⋮ Indecomposable orthogonal invariants of several matrices over a field of positive characteristic

Uses Software

• Maple

Cites Work

• Poincaré series of some pure and mixed trace algebras of two generic matrices.
• Denominators for the Poincaré series of invariants of matrices with involution.
• Matrices with involution and invariant theory
• Invariant theory of special orthogonal groups
• Orthogonal invariants of a matrix of order four and applications
• On Some q-Analogs of a Theorem of Kostant-Rallis

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