Defining relations of minimal degree of the trace algebra of 3 X 3 matrices

Francesca Saviella Benanti, Vesselin Drensky

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The trace algebra Cnd over a field of characteristic 0 is generated by all tracesof products of d generic n × n matrices, n, d 2. Starting with the generating set ofC3d given by Abeasis and Pittaluga in 1989, we have shown that the minimal degreeof the set of defining relations of C3d is equal to 7 for any d 3. We have determinedall relations of minimal degree. For d = 3 we have also found the defining relationsof degree 8.
Original languageEnglish
Pages (from-to)103-110
Number of pages8
JournalCOMPTES RENDUS DE L'ACADÉMIE BULGARE DES SCIENCES
Volume60
Publication statusPublished - 2007

All Science Journal Classification (ASJC) codes

  • General

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