6533b7d2fe1ef96bd125ecee
RESEARCH PRODUCT
Computing the ℤ2-Cocharacter of 3 × 3 Matrices of Odd Degree
Stefania Aquésubject
Algebra and Number TheoryDegree (graph theory)Field (mathematics)Polynomial identityCocharacterCombinatoricsSet (abstract data type)GradingSettore MAT/02 - AlgebraCharacter (mathematics)Representation theory of the symmetric groupHomogeneousAlgebra over a fieldMathematicsdescription
Let F be a field of characteristic 0 and A = M 2, 1(F) the algebra of 3 × 3 matrices over F endowed with the only non trivial ℤ2-grading. Aver'yanov in [1] determined a set of generators for the T 2-ideal of graded identities of A. Here we study the identities in variables of homogeneous degree 1 via the representation theory of the symmetric group, and we determine the decomposition of the corresponding character into irreducibles.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-04-22 | Communications in Algebra |