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Cohomology rings of the plactic monoid algebra via a Gröbner–Shirshov basis

Viktor Lopatkin

School of Mathematical Sciences, South China Normal University, Guangzhou, China

https://doi.org/10.1142/S0219498816500821Cited by:3 (Source: Crossref)

Abstract

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

Communicated by E. Zelmanov

Keywords:

AMSC: 16S15, 13P10, 20M05, 13D02, 16E40, 06F99

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