Invariants of \(S_ 4\) and the shape of sets of vectors

DOI10.1007/BF01613616zbMath0849.20007MaRDI QIDQ1908903

Helmer Aslaksen, Shih-Ping Chan, Tor H. Gulliksen

Publication date: 7 March 1996

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

zbMATH Keywords

invariantsexplicit solutionpermutation matrixsymmetric matricescomputer calculationsbasic syzygies

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30)

Related Items (5)

On reconstructing \(n\)-point configurations from the distribution of distances or areas ⋮ Separating invariants over finite fields ⋮ Applications of Multisymmetric Syzygies in Invariant Theory ⋮ WHICH POINT CONFIGURATIONS ARE DETERMINED BY THE DISTRIBUTION OF THEIR PAIRWISE DISTANCES? ⋮ Lorentz- and permutation-invariants of particles

Uses Software

• Macaulay2
• Maple

Cites Work

• Methods for computing in algebraic geometry and commutative algebra
• Computation of Hilbert functions
• On certain graded \(S_ n\)-modules and the \(q\)-Kostka polynomials
• Invariants of finite groups and their applications to combinatorics
• Invariants of Finite Groups Generated by Reflections
• Algorithms in invariant theory
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