MacMahon partition analysis and the Poincaré series of the algebras of invariants of ternary and quaternary forms

DOI10.1080/03081087.2010.536763zbMath1228.13010arXiv1007.1064OpenAlexW2091671597MaRDI QIDQ3090726

Guoce Xin, Leonid Bedratyuk

Publication date: 1 September 2011

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

Full work available at URL: https://arxiv.org/abs/1007.1064

zbMATH Keywords

Poincaré seriesclassical invariant theoryMacMahon partition analysis

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Actions of groups on commutative rings; invariant theory (13A50) Derivations and commutative rings (13N15)

Related Items (2)

Multigraded Hilbert series of invariants, covariants, and symplectic quotients for some rank 1 Lie groups ⋮ The Hilbert series of \(\mathcal{N}=1\) \(SO(N_c)\) and \(Sp(N_c)\) SQCD, Painlevé VI and integrable systems

Uses Software

• Maple
• LattE
• Omega

Cites Work

• On the Poincaré series of the invariants of binary forms
• The invariants of the binary nonic
• The invariants of the binary decimic
• Invariants, Kronecker products, and combinatorics of some remarkable Diophantine systems
• On complete system of invariants for the binary form of degree 7
• Effective lattice point counting in rational convex polytopes
• On the Graded Ring of Invariants of Binary Octavics
• MacMahon's partition analysis: The Omega package

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