The functional equation for Poincaré series of trace rings of generic 2\(\times 2\) matrices

DOI10.1007/BF02774086zbMath0587.16014OpenAlexW2026297380MaRDI QIDQ1072624

Lieven Le Bruyn

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf02774086

zbMATH Keywords

functional equationPoincaré seriesalgebras with polynomial identitiesgraded vector spacegeneric matricestrace ring

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Graded rings and modules (associative rings and algebras) (16W50) Rings with polynomial identity (16Rxx)

Related Items (2)

Global geometry on moduli of local systems for surfaces with boundary ⋮ Poincaré series of semi-invariants of \(2\times 2\) matrices

Cites Work

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• Computing with 2\(\times 2\) matrices
• Invariants and the ring of generic matrices
• Hilbert functions of graded algebras
• On Azumaya algebras and finite dimensional representations of rings
• Trace rings of generic matrices are unique factorization domains
• Trace rings of generic 2 by 2 matrices

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