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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeNov 16th 2013
• (edited Nov 16th 2013)

gave representation theory a little Idea-section, then added some words on its incarnation as homotopy type theory in context/in the slice over $\mathbf{B}G$ and added the following homotopy type representation theory – table, which I am also including in other relevant entries:

homotopy type theory representation theory
pointed connected context $\mathbf{B}G$ ∞-group $G$
dependent type ∞-action/∞-representation
dependent sum along $\mathbf{B}G \to \ast$ coinvariants/homotopy quotient
context extension along $\mathbf{B}G \to \ast$ trivial representation
dependent product along $\mathbf{B}G \to \ast$ homotopy invariants/∞-group cohomology
dependent sum along $\mathbf{B}G \to \mathbf{B}H$ induced representation
context extension along $\mathbf{B}G \to \mathbf{B}H$
dependent product along $\mathbf{B}G \to \mathbf{B}H$ coinduced representation
• CommentRowNumber2.
• CommentAuthorDavid_Corfield
• CommentTimeDec 22nd 2013

Relevant material happening at the nCafe here.

1. fixed a very tiny typo: , -> .

anqurvanillapy

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeJan 19th 2019
• (edited Jan 19th 2019)

added pointer to

• Klaus Lux, Herbert Pahlings, Representations of groups – A computational approach, Cambridge University Press 2010 (author page, publisher page)
• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeSep 6th 2021

added pointer to:

• CommentRowNumber6.
• CommentAuthorUrs
• CommentTimeJan 28th 2022
• (edited Jan 28th 2022)

for when the editing functionality is back: the entry representation theory should have a pointer to:

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