{"paper":{"title":"The Frobenius morphism in invariant theory II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC","math.RA","math.RT"],"primary_cat":"math.AG","authors_text":"Michel Van den Bergh, Theo Raedschelders, \\v{S}pela \\v{S}penko","submitted_at":"2019-01-30T17:11:04Z","abstract_excerpt":"Let $R$ be the homogeneous coordinate ring of the Grassmannian $\\mathbb{G}=Gr(2,n)$ defined over an algebraically closed field $k$ of characteristic $p \\geq \\max\\{n-2,3\\}$. In this paper we give a description of the decomposition of $R$, considered as graded $R^{p^r}$-module, for $r \\geq 2$. This is a companion paper to our earlier paper, where the case $r=1$ was treated, and taken together, our results imply that $R$ has finite F-representation type (FFRT). Though it is expected that all rings of invariants for reductive groups have FFRT, ours is the first non-trivial example of such a ring f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.10956","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}