6533b839fe1ef96bd12a5c66

RESEARCH PRODUCT

Varieties of special Jordan algebras of almost polynomial growth

Fabrizio Martino

subject

PolynomialSequenceCodimension (Mathematics)Algebra and Number TheoryJordan algebra010102 general mathematicsTriangular matrixCodimensão (Matemática)CodimensionPolynomial identity01 natural sciencesIdentidade polinomialCombinatoricsSettore MAT/02 - AlgebraPolynomial identity codimension sequence Jordan algebra almost polynomial growthIdentityBounded functionIdentidade0103 physical sciencesArtigo original010307 mathematical physics0101 mathematicsVariety (universal algebra)Mathematics

description

Abstract Let J be a special Jordan algebra and let c n ( J ) be its corresponding codimension sequence. The aim of this paper is to prove that in case J is finite dimensional, such a sequence is polynomially bounded if and only if the variety generated by J does not contain U J 2 , the special Jordan algebra of 2 × 2 upper triangular matrices. As an immediate consequence, we prove that U J 2 is the only finite dimensional special Jordan algebra that generates a variety of almost polynomial growth.

yearjournalcountryeditionlanguage
2019-08-01
10.1016/j.jalgebra.2019.04.022http://hdl.handle.net/10447/395933