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.
|Number of pages||8|
|Journal||COMPTES RENDUS DE L'ACADÉMIE BULGARE DES SCIENCES|
|Publication status||Published - 2007|
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