八元数とホップ代数と微分不変量 - 2026/4/20の論文5本

arXiv math.RAの新着論文5本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-04-20/$G_2$-structures as Octonion AlgebrasChevalley property of module-finite Hopf algebras and discriminant ideals$D$-bialgebras, dendrification and embeddings into AWB of almost Poisson algebrasScalar relative differential invariantsWedderburn decomposition of the rational group algebras of $\operatorname{SL}_2(q)$ and $\operatorname{PSL}_2(q)$