Narrow Results

In this paper, we calculate the cohomology ring ${\mathrm{\text{Ext}}}_{\mathrm{\text{𝕜}}{\mathrm{\text{Pl}}}_{\mathrm{\text{n}}}}^{\ast }(\mathrm{\text{𝕜}},\mathrm{\text{𝕜}})$ and the Hochschild cohomology ring of the plactic monoid algebra $\mathrm{\text{𝕜}}{\mathrm{\text{Pl}}}_n$ via the Anick resolution using a Gröbner–Shirshov basis.