[Merged by Bors] - feat(representation_theory/basic): representation theory without scalar actions #13573
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Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
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…ar actions (#13573) This PR rewrites the files `representation_theory/basic` and `representation_theory/invariants` so that they avoid making use of scalar actions. It also includes the new definitions and lemmas of PR #13502 written with this new approach. Co-authored-by: antoinelab01 <66086247+antoinelab01@users.noreply.github.com>
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) We define `Rep k G`, the category of `k`-linear representations of a monoid `G`. Happily, by abstract nonsense we get that this has (co)limits and a monoidal structure for free. This should play well with the new design for representations in #13573. Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
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This PR rewrites the files
representation_theory/basicandrepresentation_theory/invariantsso that they avoid making use of scalar actions. It also includes the new definitions and lemmas of PR #13502 written with this new approach.