Denominators for one variable Poincaré series of generic matrices

DOI10.1016/j.jalgebra.2022.11.023OpenAlexW4311773724MaRDI QIDQ2680818

Allan Berele

Publication date: 4 January 2023

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

Full work available at URL: https://arxiv.org/abs/2208.06392

zbMATH Keywords

Poincaré seriesinvariants of matricestrace rings of generic matrices

Mathematics Subject Classification ID

Trace rings and invariant theory (associative rings and algebras) (16R30)

Uses Software

• EKHAD

Cites Work

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• Bounds on colength and maximal multiplicity sequences.
• Invariants and the ring of generic matrices
• Poincaré series of some pure and mixed trace algebras of two generic matrices.
• Properties of hook Schur functions with applications to P. I. algebras
• Maximal multiplicities in cocharacter sequences.
• Colength sequences for matrices over Grassmann algebras.
• Explicit rational forms for the Poincaré series of the trace rings of generic matrices
• Colength sequences for matrices.
• Denominators for the Poincaré series of invariants of small matrices
• Applications of Belov's theorem to the cocharacter sequence of p.i. algebras.
• Trace rings of generic 2 by 2 matrices
• The Hilbert series of rings of matrix concomitants
• Generic verbally prime pi-algebras and their gk-dimensions
• The ring of invariants of matrices
• Eulerian Numbers

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