Discrete Representation Theory Ep. 7 - Permutation Modules

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  • เผยแพร่เมื่อ 18 ก.ย. 2024
  • This video looks at permutation modules, and shows how to use them to construct permutation representations.

ความคิดเห็น • 13

  • @aoxuechen3169
    @aoxuechen3169 5 ปีที่แล้ว +2

    Your video really helps. Thank you so much. I expect your more wonderful works!

    • @theleastcreative
      @theleastcreative 5 ปีที่แล้ว

      I'm so happy to hear that! I'm moving at the moment, so I haven't been able to make videos, but I'll be unpacked soon and back at it!

  • @iliTheFallen
    @iliTheFallen 5 ปีที่แล้ว +1

    Why have you stopped making new videos? C'me on go ahead and make some more! This series must be completed. It is really good.

    • @mathforphysics2444
      @mathforphysics2444  5 ปีที่แล้ว +1

      Long story short, my life blew up, and I'm still trying to get it back together, I would love to make more videos, but I they take a long time to make. Thank you for the encouragement though

    • @LibertyAzad
      @LibertyAzad 4 ปีที่แล้ว +1

      @@mathforphysics2444 Perhaps, but surely your maths didn't blow up. Looking forward to your illuminating videos--whenever that may be! Thanks for this series.

  • @fik1358
    @fik1358 4 ปีที่แล้ว

    G= C3 , isomorphic to the cycle group of S3 , generated by ( 1,2,3) . V = R^3with standard basis {v1,v2,v3} . let v = ( 1, 3, 2 ) , find v.a

    • @theleastcreative
      @theleastcreative 4 ปีที่แล้ว

      v.a=(2,1,3)

    • @fik1358
      @fik1358 4 ปีที่แล้ว

      @@theleastcreative I did similar at the start and then I thought I am wrong I have to write it in this form we define vg as
      (λ1v1 + λ2v2 + λ3v3) g = λ1(v1g) + λ2(v2g) + λ3(v3g
      ) where g = a

  • @georgeanton575
    @georgeanton575 4 ปีที่แล้ว +1

    S_15 isn’t a 15! vector space? Also nice video

    • @mathforphysics2444
      @mathforphysics2444  4 ปีที่แล้ว

      what are you referring to?

    • @mathforphysics2444
      @mathforphysics2444  4 ปีที่แล้ว +1

      the end? What I was saying was that the permutation representation of S_15 would give you 15x15 matrices that act on a 15 dimensional vector space

    • @georgeanton575
      @georgeanton575 4 ปีที่แล้ว +1

      Math for Physics Ahh I misunderstood, sorry

    • @mathforphysics2444
      @mathforphysics2444  4 ปีที่แล้ว

      @@georgeanton575 It's all good, that's what I'm here for