ℤSn-MODULES AND POLYNOMIAL IDENTITIES WITH INTEGER COEFFICIENTS

DOI10.1142/S0218196713500513zbMath1302.16016arXiv1307.0733OpenAlexW3102814428MaRDI QIDQ5411791

Geoffrey Janssens, Alexei S. Gordienko

Publication date: 25 April 2014

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.0733

zbMATH Keywords

symmetric groupsgroup ringsintegral representationsGrassmann algebrasYoung diagramscodimensionsPI-algebrasassociative ringsupper triangular matrix ringsmultilinear polynomial identities

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75)

Cites Work

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• Properties of hook Schur functions with applications to P. I. algebras
• Basis for identities of the algebra of upper triangular matrices
• The representation theory of the symmetric groups
• Gesetze in Ringen. I
• Identities of the algebra of triangular matrices

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