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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 BG\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 BG\mathbf{B}G ∞-group GG
    dependent type ∞-action/∞-representation
    dependent sum along BG*\mathbf{B}G \to \ast coinvariants/homotopy quotient
    context extension along BG*\mathbf{B}G \to \ast trivial representation
    dependent product along BG*\mathbf{B}G \to \ast homotopy invariants/∞-group cohomology
    dependent sum along BGBH\mathbf{B}G \to \mathbf{B}H induced representation
    context extension along BGBH\mathbf{B}G \to \mathbf{B}H
    dependent product along BGBH\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

    diff, v26, current

    • 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)

    diff, v27, current

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