Anyone up for a game of Cartan?

Comments

• AFallingAnvil@lemmy.ca ⁨3⁩ ⁨weeks⁩ ago

  Stupid person here, anyone mind explaining the joke?

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  • Phoenix3875@lemmy.world ⁨3⁩ ⁨weeks⁩ ago

    It’s more of a math meme: Cartan Subalgebra.

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    • Cattypat@lemmy.blahaj.zone ⁨3⁩ ⁨weeks⁩ ago

      lmao I went down a whole rabbit hole with the links in this page and I do not understand ANYTHING here. math is not my thing

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    • iAvicenna@lemmy.world ⁨2⁩ ⁨weeks⁩ ago

      I see gothic small letters my brain goes LIE!

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  • ystael@beehaw.org ⁨3⁩ ⁨weeks⁩ ago

    The equation shown is a type of decomposition of a Lie algebra g that was introduced by Élie Cartan in his doctoral thesis. h is called a Cartan subalgebra of g.

    To answer what a Lie algebra is, an extremely hand-wavy description might be: a Lie group is a continuous group of symmetries of some geometric object (for example, the group SO(3) of rotations of three-dimensional space), and the corresponding Lie algebra is the “tangent space” to the group, that is, the space of tiny changes you can make that lie “along” the group.

    A lot of things in Lie theory and differential geometry are named after Élie Cartan, or sometimes after his son Henri.

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    • AFallingAnvil@lemmy.ca ⁨2⁩ ⁨weeks⁩ ago

      I thought I was getting the idea until your example. Now I’m just going to nod and say thank you for explaining enough that I get the joke :)

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• LordGimp@lemm.ee ⁨2⁩ ⁨weeks⁩ ago

  That’s the sound I make when I see boobies.

  Hooga aieeeee

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• dont@lemmy.world ⁨2⁩ ⁨weeks⁩ ago

  😂 haha, nice one. Is it simple or semi-simple?

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