Modular cocharacters for P. I. algebras

DOI10.1016/0021-8693(91)90253-5zbMath0789.16017OpenAlexW2071859781MaRDI QIDQ1178045

Jørn B. Olsson, Amitai Regev

Publication date: 26 June 1992

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90253-5

zbMATH Keywords

characteristic \(p\)PI-algebrascocharactersGrassmann (or exterior) algebramodular cocharacterspolynomial identities of algebras

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Modular representations and characters (20C20) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75) Identities other than those of matrices over commutative rings (16R40)

Related Items (3)

Capelli identities for some modular P. I. algebras ⋮ The mathematics of Amitai Regev ⋮ Remarks on P. I. algebras over finite fields

Cites Work

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• Applications of hook Young diagrams to P.I. algebras
• Homogeneous polynomial identities
• On a question concerning generic matrices over the integers
• Algebras satisfying a Capelli identity
• PI-algebras and their cocharacters
• Colength sequence of some T-ideals
• The representation theory of the symmetric groups
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• Gesetze in Ringen. I
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• Modular representation theory and pi-algebras
• An Application of Representation Theory to PI-Algebras
• The Polynomial Identities of the Grassman Algebra

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