Invariant rings of sums of fundamental representations of \(\operatorname{SL}_n\) and colored hypergraphs

DOI10.1016/j.aim.2021.107929zbMath1483.13015arXiv1807.09642OpenAlexW3186855606MaRDI QIDQ2048636

Lukas Braun

Publication date: 23 August 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.09642

zbMATH Keywords

fundamental representationsinvariant ringsspecial linear groupcolored hypergraphs

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Actions of groups on commutative rings; invariant theory (13A50) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Coloring of graphs and hypergraphs (05C15)

Cites Work

• The ideal of relations for the ring of invariants of \(n\) points on the line
• The invariants of the binary nonic
• The invariants of the binary decimic
• The equations for the moduli space of \(n\) points on the line
• The relations among invariants of points on the projective line
• Invariants of sets of lines in projective 3-space
• Graph theory and classical invariant theory
• Computational invariant theory
• About Gordan's algorithm for binary forms
• A fast algorithm for MacMahon's partition analysis
• Completing the classification of representations of \(SL_n\) with complete intersection invariant ring
• Invariants and projections of six lines in projective space
• Symmetry, Representations, and Invariants
• Symbolic method in invariant theory
• The Ideal of Relations for the Ring of Invariants ofnPoints on the Line: Integrality Results
• Covariant algebra of the binary nonic and the binary decimic
• Algorithms in invariant theory
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