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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.11291 |
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| _version_ | 1866911145211723776 |
|---|---|
| author | Doty, Stephen |
| author_facet | Doty, Stephen |
| contents | Using the \texttt{WeylModules} \textsf{GAP} Package, we compute
structural information about certain Weyl modules for type $G_2$ in
characteristic $2$. This gives counterexamples to two conjectures
stated by S.~Donkin in 1990. It also illustrates capabilities of the
package, which can in principle be applied to Weyl modules for any
simple, simply-connected algebraic group in any characteristic,
subject of course to time and space limitations of computational
resources. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11291 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A computational study of certain Weyl modules for type $G_2$ in characteristic 2 Doty, Stephen Representation Theory Group Theory 20G05 Using the \texttt{WeylModules} \textsf{GAP} Package, we compute structural information about certain Weyl modules for type $G_2$ in characteristic $2$. This gives counterexamples to two conjectures stated by S.~Donkin in 1990. It also illustrates capabilities of the package, which can in principle be applied to Weyl modules for any simple, simply-connected algebraic group in any characteristic, subject of course to time and space limitations of computational resources. |
| title | A computational study of certain Weyl modules for type $G_2$ in characteristic 2 |
| topic | Representation Theory Group Theory 20G05 |
| url | https://arxiv.org/abs/2412.11291 |