feat: Tannaka duality for finite groups

[ybenmeur]

Proves Tannaka duality for finite groups.

• depends on: feat: some lemmas for Tannaka duality for finite groups #22174

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[github-actions]

PR summary d7624169b6

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.RepresentationTheory.Tannaka (new file)	1726

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Declarations diff

+ F
+ T
+ T_app
+ T_apply
+ T_fun
+ T_injective
+ T_surjective
+ algHomOfα
+ equiv
+ eval_of_alghom
+ fdRepτᵣ
+ image_α_in_image_τᵣ
+ instance : (forget₂ (FDRep k G) (FGModuleCat k)).Monoidal := by
+ map_mul_α
+ tannaka_duality
+ α
+ α_injective
+ μ
+ τᵣ
+ τₗ
+ τₗFDRepHom
+ φ
+ φFDRepHom
+ φ_e_one_eq_id

You can run this locally as follows

## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.

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No changes to technical debt.

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary

• The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
• The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

[mathlib4-dependent-issues-bot]

This PR/issue depends on:

• feat: some lemmas for Tannaka duality for finite groups #22174
  By Dependent Issues (🤖). Happy coding!