Magnum P.I

DOI10.1007/BF02772954zbMath0581.16015MaRDI QIDQ1068169

Allan Berele

Publication date: 1985

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

zbMATH Keywords

polynomial identitiesgraded identitiesYoung diagramsGrassmann algebraPI-algebraT-idealfree \(Z_ 2\)-graded algebramagnumrepresentation theory of Lie superalgebras

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (19)

Gradings on the algebra of upper triangular matrices and their graded identities. ⋮ Graded Polynomial Identities for Tensor Products by the Grassmann Algebra ⋮ Capelli identities for some modular P. I. algebras ⋮ Cocharacters of \(\mathbb Z/2\mathbb Z\)-graded algebras ⋮ On identities of baric algebras and superalgebras ⋮ Gradings on the algebra of upper triangular matrices of size three. ⋮ Computing super matrix invariants. ⋮ Sign trace identities ⋮ Bounds on colength and maximal multiplicity sequences. ⋮ Properties of hook Schur functions with applications to P. I. algebras ⋮ New determinants and the Cayley-Hamilton Theorem for matrices over Lie nilpotent rings ⋮ Maximal multiplicities in cocharacter sequences. ⋮ Graded identities for T-prime algebras over fields of positive characteristic ⋮ Colength sequences for matrices over Grassmann algebras. ⋮ On the graded identities of \(M_{1,1}(E)\) ⋮ GRADED IDENTITIES FOR THE ALGEBRA OF n×n UPPER TRIANGULAR MATRICES OVER AN INFINITE FIELD ⋮ Colength sequences for Kemer algebras. ⋮ Integrality of exponents of some abelian-by-nilpotent varieties of lie algebras ⋮ On Z₂-graded polynomial identities of verbally semiprime algebras

Cites Work

• Applications of hook Young diagrams to P.I. algebras
• Homogeneous polynomial identities
• Nonmatrix varieties
• PI-algebras and their cocharacters
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras

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