The polynomial identities of matrices
DOI10.1090/conm/013/685937zbMath0503.16016OpenAlexW4251619236MaRDI QIDQ3969082
Publication date: 1982
Published in: Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/conm/013/685937
surveyirreducible representationsT-idealstrace identitiespolynomial identities of matricestracescyclic algebrasYoung diagramsBrauer groupcodimensionscentral polynomialsPI-ringscocharactersweak identitiestensor product theoremAmitsur-Levitzki theoremCapelli polynomialsring of generic matricesgeneric division ringlinearization of identitiesrepresentation theory of the symmetric and general linear groups
Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Endomorphism rings; matrix rings (16S50) Representations of finite symmetric groups (20C30) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02) Rings with polynomial identity (16Rxx)
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