A note on cocharacter sequence of Jordan upper triangular matrix algebra

Fabrizio Martino, Lucio Centrone, Fabrizio Martino

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

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).
Original languageEnglish
Pages (from-to)1687-1695
Number of pages9
JournalCommunications in Algebra
Volume45
Publication statusPublished - 2017

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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