Denominators for the Poincaré series of invariants of small matrices

DOI10.1007/BF02785575zbMath0948.16018OpenAlexW2170288982MaRDI QIDQ1968997

John R. Stembridge, Allan Berele

Publication date: 30 August 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02785575

zbMATH Keywords

invariantsPoincaré seriestracesgeneric matrices

Mathematics Subject Classification ID

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

Related Items (11)

Defining relations of the noncommutative trace algebra of two \(3\times 3\) matrices. ⋮ Poincaré series of some pure and mixed trace algebras of two generic matrices. ⋮ Denominators for one variable Poincaré series of generic matrices ⋮ A Calabi-Yau algebra with $E_6$ symmetry and the Clebsch-Gordan series of $sl(3)$ ⋮ Defining relations of minimal degree of the trace algebra of \(3\times 3\) matrices. ⋮ A presentation of the trace algebra of three \(3\times 3\) matrices. ⋮ DEFINING RELATIONS OF LOW DEGREE OF INVARIANTS OF TWO 4 × 4 MATRICES ⋮ Denominators for the Poincaré series of invariants of matrices with involution. ⋮ MULTIPLICITIES IN THE MIXED TRACE COCHARACTER SEQUENCE OF TWO 3 × 3 MATRICES ⋮ Using Hook Schur Functions to Compute Matrix Cocharacters ⋮ The Askey–Wilson algebra and its avatars

Uses Software

• SF

Cites Work

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• Invariants and the ring of generic matrices
• The Poincaré series of the ring of 2x2 generic matrices
• Explicit rational forms for the Poincaré series of the trace rings of generic matrices
• The invariant theory of \(n\times n\) matrices
• A Maple package for symmetric functions
• Trace rings of generic 2 by 2 matrices
• The ring of invariants of matrices

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