Effective Invariant Theory of Permutation Groups Using Representation Theory

DOI10.1007/978-3-319-23021-4_6zbMath1401.13017arXiv1511.00954OpenAlexW1894579325MaRDI QIDQ2947147

Nicolas Borie

Publication date: 22 September 2015

Published in: Algebraic Informatics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.00954

zbMATH Keywords

representation theorypermutation groupcomputational invariant theorySpecht polynomials

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Combined modulation schemes (including trellis codes) in coding theory (94B12) Actions of groups on commutative rings; invariant theory (13A50)

Cites Work

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• Higher Specht polynomials for the symmetric group
• Solving a system of algebraic equations with symmetries
• Computational invariant theory
• Group actions on Stanley-Reisner rings and invariants of permutation groups
• Invariants algébriques de graphes et reconstruction
• Solving systems of polynomial equations with symmetries using SAGBI-Gröbner bases
• Invariants of finite groups and their applications to combinatorics
• Algorithms in invariant theory
• Galois group computation for rational polynomials