Geodesic
Trace rings of generic matrices are Cohen-Macaulay
Journal of the American Mathematical Society, Tome 02 (1989) no. 4, pp. 775-799

Voir la notice de l'article provenant de la source American Mathematical Society

In this paper, we prove that trace rings of generic matrics are Cohen-Macaulay (Theorem 7.3.6). This is done by relating this problem to a conjecture of Stanley about modules of invariants under a reductive group. We prove a slightly weakened version (Conjecture 3.4’) of this conjecture in special cases (Theorem 6.1.8). In particular, we obtain that Conjecture 3.4’ is true for $S{L_2}$ (Remark 6.1.10). 
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Van den Bergh, Michel. Trace rings of generic matrices are Cohen-Macaulay. Journal of the American Mathematical Society, Tome 02 (1989) no. 4, pp. 775-799. doi: 10.1090/S0894-0347-1989-1001850-7

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