Basis of graded identities of the superalgebra \(M_{1,2}(F)\).

DOI10.1134/S0001434609030195zbMath1186.16011MaRDI QIDQ1033954

I. V. Aver'yanov

Publication date: 10 November 2009

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

matrix algebrasgraded algebraspermutation groupssuperalgebrasYoung tableauxtrace identitiesgraded identitiesGrassmann envelopesbases of graded polynomial identitiesideals of group algebras

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Trace rings and invariant theory (associative rings and algebras) (16R30) (T)-ideals, identities, varieties of associative rings and algebras (16R10) ``Super (or ``skew) structure (16W55)

Related Items (4)

Cocharacters of bilinear mappings and graded matrices. ⋮ Quasi-Polynomials of Capelli. II ⋮ Computing the ℤ₂-Cocharacter of 3 × 3 Matrices of Odd Degree ⋮ To Chang Theorem. III

Cites Work

• A minimal basis of identities for a second-order matrix algebra over a field of characteristic 0
• The representation theory of the symmetric groups
• On the graded identities of \(M_{1,1}(E)\)
• Graded polynomial identities of matrices
• A basis for the graded identities of the matrix algebra of order two over a finite field of characteristic \(p\neq 2\)
• Identities of associative algebras
• $\mathbf {Z}_n$-graded polynomial identities of the full matrix algebra of order $n$
• GRADED IDENTITIES FOR THE MATRIX ALGEBRA OF ORDER OVER AN INFINITE FIELD

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