Lie Groups #1 - Introduction + The General Linear group GL(n, R)
14.3 هزار بار بازدید -
4 سال پیش
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This video will introduce the
This video will introduce the concept of a Lie group, realised as a continuous group that also has the structure of a smooth manifold (see my manifold lectures for more, I will assume you have some idea about what a manifold is in this video).
I will mostly be relying on examples rather than formal definitions to begin with, and this video covers the most general Lie group, the general linear group. I discuss how we realise this matrix group as a manifold (by constructing charts, effectively the matrix elements are the coordinates).
If you like my videos and want to consider supporting the channel I am now accepting donations in DOGE and BTC (other cryptos on request) See my channel description for the addresses!
I will mostly be relying on examples rather than formal definitions to begin with, and this video covers the most general Lie group, the general linear group. I discuss how we realise this matrix group as a manifold (by constructing charts, effectively the matrix elements are the coordinates).
If you like my videos and want to consider supporting the channel I am now accepting donations in DOGE and BTC (other cryptos on request) See my channel description for the addresses!
4 سال پیش
در تاریخ 1399/07/18 منتشر شده
است.
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