Combinatorial sums, identities and trace identities of the 2x2 matrices

DOI10.1016/0001-8708(82)90026-3zbMath0499.16013OpenAlexW2018349582MaRDI QIDQ1171624

Amitai Regev

Publication date: 1982

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(82)90026-3

zbMATH Keywords

polynomial identitiesmultilinear polynomialscodimension sequencecocharactersfree associative algebratrace codimensionsT-ideal

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Rings with polynomial identity (16Rxx)

Related Items

Asymptotics and algebraicity of some generating functions, Multi-variable Zeilberger and Almkvist-Zeilberger algorithms and the sharpening of Wilf-Zeilberger theory, Associative rings, Computing with 2\(\times 2\) matrices, Codimensions and trace codimensions of matrices are asymptotically equal

Cites Work

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• Codimensions and trace codimensions of matrices are asymptotically equal
• Invariants and the ring of generic matrices
• A polynomial rate of growth for the multiplicities in cocharacters of matrices
• Asymptotic values for degrees associated with strips of Young diagrams
• The polynomial identities of matrices in characteristic zero