On the Poincaré series of the invariants of binary forms

DOI10.1016/0021-8693(90)90284-UzbMath0726.20029MaRDI QIDQ802752

Claudio Procesi, Peter Littelmann

Publication date: 1990

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

ring of invariantsPoincaré seriesbinary formsregular sequence

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Vector and tensor algebra, theory of invariants (15A72) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Forms and linear algebraic groups (11E99)

Related Items (11)

Covariant algebra of the binary nonic and the binary decimic ⋮ About Gordan's algorithm for binary forms ⋮ Multigraded Hilbert series of invariants, covariants, and symplectic quotients for some rank 1 Lie groups ⋮ Hilbert series of symplectic quotients by the 2-torus ⋮ The Hilbert series of SL2-invariants ⋮ Degrees of Regular Sequences With a Symmetric Group Action ⋮ The Poincaré series of the algebras of simultaneous invariants and covariants of two binary forms ⋮ Hilbert series associated to symplectic quotients by SU2 ⋮ MacMahon partition analysis and the Poincaré series of the algebras of invariants of ternary and quaternary forms ⋮ An algebraic independence result related to a conjecture of Dixmier on binary form invariants ⋮ Characterization of the symmetry class of an elasticity tensor using polynomial covariants

Cites Work

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• On the Graded Ring of Invariants of Binary Octavics

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