### Abstract

Lingua originale | English |
---|---|

pagine (da-a) | 103-110 |

Numero di pagine | 8 |

Rivista | COMPTES RENDUS DE L'ACADÉMIE BULGARE DES SCIENCES |

Volume | 60 |

Stato di pubblicazione | Published - 2007 |

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### All Science Journal Classification (ASJC) codes

- General

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*COMPTES RENDUS DE L'ACADÉMIE BULGARE DES SCIENCES*,

*60*, 103-110.

**Defining relations of minimal degree of the trace algebra of 3 X 3 matrices.** / Benanti, Francesca Saviella; Drensky, Vesselin.

Risultato della ricerca: Article

*COMPTES RENDUS DE L'ACADÉMIE BULGARE DES SCIENCES*, vol. 60, pagg. 103-110.

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TY - JOUR

T1 - Defining relations of minimal degree of the trace algebra of 3 X 3 matrices

AU - Benanti, Francesca Saviella

AU - Drensky, Vesselin

PY - 2007

Y1 - 2007

N2 - The trace algebra Cnd over a field of characteristic 0 is generated by all traces of products of d generic n × n matrices, n, d 2. Starting with the generating set of C3d given by Abeasis and Pittaluga in 1989, we have shown that the minimal degree of the set of defining relations of C3d is equal to 7 for any d 3. We have determined all relations of minimal degree. For d = 3 we have also found the defining relations of degree 8.

AB - The trace algebra Cnd over a field of characteristic 0 is generated by all traces of products of d generic n × n matrices, n, d 2. Starting with the generating set of C3d given by Abeasis and Pittaluga in 1989, we have shown that the minimal degree of the set of defining relations of C3d is equal to 7 for any d 3. We have determined all relations of minimal degree. For d = 3 we have also found the defining relations of degree 8.

UR - http://hdl.handle.net/10447/9531

UR - http://www.proceedings.bas.bg/

M3 - Article

VL - 60

SP - 103

EP - 110

JO - Comptes Rendus de L'Academie Bulgare des Sciences

JF - Comptes Rendus de L'Academie Bulgare des Sciences

SN - 1310-1331

ER -