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[Merged by Bors] - feat(representation_theory/Rep): describe monoidal closed structure #18148

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@101damnations 101damnations commented Jan 12, 2023

The monoidal closed structure on Rep k G defines an internal hom of representations; we show this agrees with representation.lin_hom. Moreover, the maps defining the hom-set bijection come from the tensor-hom adjunction for $k$-modules.


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This PR seems to be quite some achievement! It seems to me that the long simp blocks are just a feature of category theory in Lean sometimes. I think that it would be helpful if you added either some comments or docstrings or both, because there's a lot going on here and it seems to be known to the experts how these things work, but not to me :-)

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kbuzzard commented Mar 23, 2023

maintainer merge

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🚀 Pull request has been placed on the maintainer queue by kbuzzard.

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bors merge

@github-actions github-actions bot added ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) and removed awaiting-review The author would like community review of the PR labels Mar 23, 2023
bors bot pushed a commit that referenced this pull request Mar 23, 2023
…18148)

The monoidal closed structure on `Rep k G` defines an internal hom of representations; we show this agrees with `representation.lin_hom`. Moreover, the maps defining the hom-set bijection come from the tensor-hom adjunction for $k$-modules.
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bors bot commented Mar 23, 2023

Pull request successfully merged into master.

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@bors bors bot changed the title feat(representation_theory/Rep): describe monoidal closed structure [Merged by Bors] - feat(representation_theory/Rep): describe monoidal closed structure Mar 23, 2023
@bors bors bot closed this Mar 23, 2023
@bors bors bot deleted the inhomog-cochains branch March 23, 2023 23:41
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4 participants