Group Theory & Physics (2): Example and Intuition The set of all n x n matrices does 𝒏𝒐𝒕 form a group, but the set of n x n 𝒊𝒏𝒗𝒆𝒓𝒕𝒊𝒃𝒍𝒆 matrices does. This group is known as the General Linear Group, denoted GL(n).pic.twitter.com/9nqMVWPKgH
PhD student of Theoretical Particle Physics @UCIrvine l @NSF Fellow l Physics & Math Animations l Patreon: https://www.patreon.com/inertialobserver …
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Group Theory & Physics (2): Example and Intuition The set of all n x n matrices does 𝒏𝒐𝒕 form a group, but the set of n x n 𝒊𝒏𝒗𝒆𝒓𝒕𝒊𝒃𝒍𝒆 matrices does. This group is known as the General Linear Group, denoted GL(n).pic.twitter.com/9nqMVWPKgH
Group Theory & Physics (2b): Example & Intuition One last intuition before moving on to the fun stuff..pic.twitter.com/6w7W0daMQy
Group Theory & Physics (3): Lie Groups The defining property of a Lie Group is that the group elements can be parametrized by a continuous variable.pic.twitter.com/pNJd0n5VRj
more Lie groups and why they're important for physics SU(2) SO(3) ...E8?!!?!
yes yes yes!!! but I can't just jump right into those guys haha.. U(1) is just as important as those as it's isomorphic to SO(2)!
so i mean if you already have a plan then that's the "more" i want i'm just an impatient little vampire girl
was originally looking for oliver but i went with claudia when her gif came uppic.twitter.com/nQ0LHTxOzX
(and i'm still noodling over your stupid distance-from-point-on-x-axis-to-point-on-unit-circle integral; not sure if you think of it that way but that's one of the things it is)
Wait are you sure that was one of mine?
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