# The image of the Specht module under the inverse Schur functor in arbitrary characteristic

@article{McDowell2021TheIO, title={The image of the Specht module under the inverse Schur functor in arbitrary characteristic}, author={Eoghan McDowell}, journal={Journal of Algebra}, year={2021}, volume={586}, pages={865-898} }

Abstract This paper gives a necessary and sufficient condition for the image of the Specht module under the inverse Schur functor to be isomorphic to the dual Weyl module in characteristic 2, and gives an elementary proof that this isomorphism holds in all cases in all other characteristics. These results are new in characteristics 2 and 3. We deduce some new examples of indecomposable Specht modules in characteristic 2. When the isomorphism does not hold, the dual Weyl module is still a… Expand

#### One Citation

Plethysms of symmetric functions and highest weight representations

- Mathematics
- Transactions of the American Mathematical Society
- 2021

Let $s_\nu \circ s_\mu$ denote the plethystic product of the Schur functions $s_\nu$ and $s_\mu$. In this article we define an explicit polynomial representation corresponding to $s_\nu \circ s_\mu$… Expand

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Plethysms of symmetric functions and highest weight representations

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Let $s_\nu \circ s_\mu$ denote the plethystic product of the Schur functions $s_\nu$ and $s_\mu$. In this article we define an explicit polynomial representation corresponding to $s_\nu \circ s_\mu$… Expand

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