Robinson–Schensted–Knuth Correspondence and Weak Polynomial Identities of M1,1(E)

DOI10.1142/S1005386705000325zbMath1086.16013arXivmath/0205024OpenAlexW2009555667MaRDI QIDQ4680788

Roberto La Scala

Publication date: 7 June 2005

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

Full work available at URL: https://arxiv.org/abs/math/0205024

zbMATH Keywords

superalgebrascommutatorsGrassmann algebrarelatively free algebrasdouble tableauxweak polynomial identities

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Endomorphism rings; matrix rings (16S50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75) ``Super (or ``skew) structure (16W55)

Related Items (1)

Weak polynomial identities and their applications

Cites Work

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• Codimensions of T-ideals and Hilbert series of relatively free algebras
• The Hilbert series of the polynomial identities for the tensor square of the Grassmann algebra
• A characteristic free approach to invariant theory
• Gröbner bases of ideals of minors of a symmetric matrix
• Weak polynomial identities for the matrix algebra of order two
• On the graded identities of \(M_{1,1}(E)\)
• Permutations, matrices, and generalized Young tableaux
• Basis of the identities of the matrix algebra of order two over a field of characteristic \(p\neq 2\)

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