Stanley–Reisner rings and the occurrence of the Steinberg representation in the hit problem
A result of G. Walker and R. Wood states that the space of indecomposable elements in degree $2^n-1-n$ of the polynomial algebra $\mathbb{F}_2[x_1,\,\ldots ,\,x_n]$, considered as a module over the mod 2 Steenrod algebra, is isomorphic to the Steinberg representation of $\mathrm{GL}_n(\mathbb{F}_2)$...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2022-09-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.359/ |