Abstract
Let R be the homogeneous coordinate ring of the Grassmannian defined over an algebraically closed field of characteristic . In this paper we give a description of the decomposition of , considered as graded -module, for . This is a companion paper to our earlier paper, where the case was treated, and taken together, our results imply that 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 for a group which is not linearly reductive. As a corollary, we show that the ring of differential operators is simple, that has global finite F-representation type (GFFRT) and that provides a noncommutative resolution for
| Original language | English |
|---|---|
| Article number | 108587 |
| Number of pages | 64 |
| Journal | Advances in Mathematics |
| Volume | 410 |
| DOIs | |
| Publication status | Published - 3 Dec 2022 |
Bibliographical note
Funding Information:The first author is supported by an EPSRC postdoctoral fellowship EP/R005214/1.The second author is a FWO [PEGASUS]2 Marie Skłodowska-Curie fellow at the Free University of Brussels (funded by the European Union Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 665501 with the Research Foundation Flanders (FWO)). During part of this work she was also a postdoc with Sue Sierra at the University of Edinburgh.The third author is a senior researcher at the Research Foundation Flanders (FWO). While working on this project he was supported by the FWO grant G0D8616N: “Hochschild cohomology and deformation theory of triangulated categories”.
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