Skew-Forms and Galois Theory
Let $L/K$ be a cyclic extension of degree $n = 2m$. It is known that the space $\mathrm{Alt}_K(L)$ of alternating $K$-bilinear forms (skew-forms) on $L$ decomposes into a direct sum of $K$-subspaces $A^{\sigma ^i}$ indexed by the elements of $\mathrm{Gal}(L/K) = \langle \sigma \rangle $. It is also...
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| 格式: | 文件 |
| 语言: | English |
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Académie des sciences
2024-11-01
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| 丛编: | Comptes Rendus. Mathématique |
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| 在线阅读: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.645/ |