6533b7d2fe1ef96bd125ec09
RESEARCH PRODUCT
A note on cocharacter sequence of Jordan upper triangular matrix algebra
Fabrizio MartinoLucio Centronesubject
Algebra and Number TheoryJordan algebraQuaternion algebraMathematics::Rings and Algebras010102 general mathematicsZero (complex analysis)Triangular matrixgrowth of algebras010103 numerical & computational mathematics01 natural sciencesgraded Jordan algebraCombinatoricsAlgebraFiltered algebraSettore MAT/02 - AlgebraDifferential graded algebraFree algebraAlgebra representationGraded identitie0101 mathematicsMathematicsdescription
Let UJn(F) be the Jordan algebra of n × n upper triangular matrices over a field F of characteristic zero. This paper is devoted to the study of polynomial identities satisfied by UJ2(F) and UJ3(F). In particular, the goal is twofold. On one hand, we complete the description of G-graded polynomial identities of UJ2(F), where G is a finite abelian group. On the other hand, we compute the Gelfand–Kirillov dimension of the relatively free algebra of UJ2(F) and we give a bound for the Gelfand–Kirillov dimension of the relatively free algebra of UJ3(F).
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-10-07 |