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Schouten identity resembles Jacobi identity

  1. Aug 20, 2014 #1

    MathematicalPhysicist

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    Am I the only one who sees the resemblance between these two identities?

    Schouten:

    <p q> <r s> +<p r> <s q>+ <p s > <q r> =0

    Jacobi:

    [A,[B,C]]+[C,[A,B]]+[B,[C,A]]=0

    In Schouten the p occours in each term in the three terms, so we can regard it as dumby variable, and somehow get a correspondence between these two identities, or the algebraic structures that each identity is used in.

    Am I being a cranck here? it's not my intention, as always, just trying to understand.

    P.S
    I am not sure I understand the proof of Schouten's identity in Srednicki's, I'll try to reread it.
     
  2. jcsd
  3. Dec 10, 2017 #2

    garrett

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  4. Dec 11, 2017 #3

    MathematicalPhysicist

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    I had a dream or a thought about your work; any new progress on your work?
     
  5. Dec 11, 2017 #4

    garrett

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    Well, for one thing, I'm investigating how it relates to BCJ duality.
     
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