Cocharacters of g-graded algebras

DOI10.1080/00927879608825751zbMath0880.16013OpenAlexW2108285569MaRDI QIDQ4338200

Onofrio Mario di Vincenzo

Publication date: 10 August 1997

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

Full work available at URL: https://doi.org/10.1080/00927879608825751

zbMATH Keywords

graded polynomial identitiesgraded cocharacterscodimensions of graded algebras

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Graded rings and modules (associative rings and algebras) (16W50)

Related Items

\(\mathbb{Z}_2\)-graded cocharacters for superalgebras of triangular matrices., Graded Polynomial Identities for Tensor Products by the Grassmann Algebra, Unnamed Item, \(Y\)-proper graded cocharacters of the algebra \(UT_m(F)\) of \(m \times m\) upper triangular matrices over \(F\), \(Y\)-proper graded cocharacters and codimensions of upper triangular matrices of size 2, 3, 4., On ℤ_p-graded identities and cocharacters of the Grassmann algebra, The GK dimension of relatively free algebras of PI-algebras, \(Y\)-proper graded cocharacters of upper triangular matrices of order \(m\) graded by the \(m\)-tuple \(\phi=(0,0,1,\ldots,m-2)\)., On \(\mathbb Z_2\)-graded identities of \(UT_2(E)\) and their growth., Graded polynomial identities of triangular algebras, Identities of algebras with actions of Hopf algebras, Identities of PI-Algebras Graded by a Finite Abelian Group, The graded Gelfand--Kirillov dimension of verbally prime algebras

Cites Work

• Cocharacters of \(\mathbb Z/2\mathbb Z\)-graded algebras
• The Kronecker product of \(S_n\)-characters and an \(A\otimes B\) theorem for Capelli identities
• The representations of \(S_n\) and explicit identities for P. I. algebras
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS