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

Francesca Saviella Benanti, Vesselin Drensky

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4 Citazioni (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.
Lingua originaleEnglish
pagine (da-a)103-110
Numero di pagine8
RivistaCOMPTES RENDUS DE L'ACADÉMIE BULGARE DES SCIENCES
Volume60
Stato di pubblicazionePublished - 2007

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