Lie Algebra/Lie Theory Reading Group

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Lie Algebra/Lie Theory Reading Group OP Sat Nov 7 21:19:02 2020 No.12316665 [Reply] [Original]

Hi everyone. A few friends and I started back a study group over the summer and have gone through a couple topics. Now we've decided to take a look at reading Brian C. Hall's book on Lie Algebra, Lie Groups, and Representation Theory.

We meet once weekly over VC/text to talk about the book. But if anyone is interested, you're welcome to join. We haven't started the book yet (in case anyone here wants to join), but plan to talk maybe a little about the applications to physics without watering down the pure mathematics. For now, we're focused on covering Lie Algebras. We talk maths, formerly.

>TL;DR - Doing a Lie Algebra reading group with a few friends using Brian Hall's book. We meet once a week over VC/text. Haven't started the book yet. You're welcome to join.

>>	OP Sat Nov 7 21:19:53 2020 No.12316671 >>12316665 Oh and here's the discord >https://discord.gg/VmtmpEdAZC

>>	Anonymous Sat Nov 7 21:21:49 2020 No.12316678 File: 116 KB, 940x627, yellow_doggy_style.jpg [View same] [iqdb] [saucenao] [google]

>>	Anonymous Sat Nov 7 21:24:43 2020 No.12316686 >>12316665 >yellow book based yellowbookposter

>>	Anonymous Sat Nov 7 21:32:09 2020 No.12316709 File: 58 KB, 768x960, 1603415128515.jpg [View same] [iqdb] [saucenao] [google]

>>	Anonymous Sat Nov 7 21:34:03 2020 No.12316719 Lie groups should never be studied for their own sake without a clear motivation in mind. The theory should be picked up along the way as you actually apply it it to interesting things.

>>	Anonymous Sat Nov 7 22:03:59 2020 No.12316788 File: 140 KB, 1280x1502, 1604339024166.jpg [View same] [iqdb] [saucenao] [google] sounds comfy

>>	Anonymous Sat Nov 7 22:06:15 2020 No.12316791 >>12316719 my clear motivation in mind is learning lie groups.

>>	OP Sat Nov 7 23:01:49 2020 No.12316892 >>12316719 We'd like to discuss it's applications to physics.

>>	Anonymous Sun Nov 8 00:05:04 2020 No.12317016 >>12316665 What are the prereqs?

>>	Anonymous Sun Nov 8 00:17:58 2020 No.12317039 >>12316665 What are the prerequisites like? and are you guys the same topology/algebraic topology group?

>>	Anonymous Sun Nov 8 00:24:52 2020 No.12317049 >>12317016 Group theory.

>>	OP Sun Nov 8 00:55:48 2020 No.12317098 >>12317039 see >>12317049

>>	Anonymous Sun Nov 8 03:43:27 2020 No.12317427 For all you physics anons out there, I highly recommend Group Theory in a Nutshell for Physicists by, Anthony Zee. It might be a good supplement to a more rigorous treatment.

>>	Anonymous Sun Nov 8 04:31:03 2020 No.12317514 File: 283 KB, 659x652, 1500101605028.jpg [View same] [iqdb] [saucenao] [google]

>>	Anonymous Sun Nov 8 04:36:03 2020 No.12317519 File: 108 KB, 750x1000, 1603617544508.jpg [View same] [iqdb] [saucenao] [google] >>12317039 Yes

>>	Anonymous Sun Nov 8 08:36:52 2020 No.12317897 >>12317039 yeah we've stayed alive since summer

>>	Anonymous Sun Nov 8 09:21:26 2020 No.12317977 bump

Anonymous Sun Nov 8 10:28:25 2020 No.12318074

>>12317427
One of the worst books I've been read on the subject. And I loved his QFT book.

>>12316719
Agree. OP says he's interested in applications to physics but then a whole book is an overkill. Would get more mileage from going through a proper differential geometry course which would include this and more, or reading through something like Schutz.

>>	Anonymous Sun Nov 8 11:13:14 2020 No.12318178 >>12318074 read Hall for a qual exam and thought the book by itself is just fine in what it covers. good choice OP

>>	Anonymous Sun Nov 8 12:38:31 2020 No.12318383 File: 23 KB, 398x500, school picture.jpg [View same] [iqdb] [saucenao] [google] NICE SELECTION, OP

>>	Anonymous Sun Nov 8 14:45:14 2020 No.12318772 >>12316665 test

>>	Anonymous Sun Nov 8 15:12:38 2020 No.12318894 File: 1022 KB, 1050x884, thonk.png [View same] [iqdb] [saucenao] [google]

>>	Anonymous Sun Nov 8 17:01:54 2020 No.12319314 File: 1.02 MB, 1230x1048, 1603473125065.png [View same] [iqdb] [saucenao] [google]

>>	Anonymous Sun Nov 8 17:43:21 2020 No.12319450 >>12316719 Lie groups are interesting independent of their applications, imo

>>	Anonymous Sun Nov 8 17:55:25 2020 No.12319496 >>12319450 this.

>>	Anonymous Sun Nov 8 18:24:24 2020 No.12319574 >>12319450 Yes, they are. I completed my master's project on Lie Groups without having a background in physics. Plenty of meat there

>>	Anonymous Sun Nov 8 18:46:25 2020 No.12319641 Why are springer books so kino?

>>	Anonymous Sun Nov 8 18:50:27 2020 No.12319653 >>12319641 I think it's the iconic yellow color and the fact that the publisher has pretty high standards for what can be published.

>>	Anonymous Sun Nov 8 20:42:18 2020 No.12320028 File: 40 KB, 600x880, sars.jpg [View same] [iqdb] [saucenao] [google] Can confirm the people who run the group are pretty based and dedicated

>>	Anonymous Sun Nov 8 20:45:26 2020 No.12320038 >>12316665 When are you guys planning on starting? After semester ends?

OP Sun Nov 8 20:50:39 2020 No.12320051

>>12320038
Towards semester end. But the first few meetings will be light discussion. Since this thread may very well be up until late next week, we will probably spend next saturday (The 14th of Nov) talking shortly about Clifford Algebra, which isn't a prerequisite for anything but more so functions as a chance for everyone to collect.

Our first meeting on the book itself will be on November 21st, where we'll discuss prerequisites for the first chapter of the book quickly and then speak about the 8 important groups the author introduces, touch on topology and, if we have time, touch on the definition of lie groups. That is the aim of the November 21st meeting.

>>	Anonymous Sun Nov 8 22:15:56 2020 No.12320311 >>12320051 Sounds good. Seems like you've got a plan in mind. Good luck pacing though that book.

>>	Anonymous Sun Nov 8 23:40:52 2020 No.12320582 How many trannies are in the discord OP? I’m always wary of discord because of the prevalence of females (male).

>>	Anonymous Mon Nov 9 03:34:26 2020 No.12321214 >>12316665 you will not win I shall not give up pepe poster

>>	Anonymous Mon Nov 9 07:11:12 2020 No.12321728 >>12320582 This. My UG years gave me trauma when we ended with more more trannyfluid people than we began with...

OP Mon Nov 9 08:16:09 2020 No.12321845

>>12320582
None actually. No one on the discord is from reddit or elsewhere, 99% of people came from /sci/ with the exception of Nikolaj who posted an invite on his youtube channel, but his audience is mature.
Only men as far as I know. We've been alive since June and not a single tranny voice has been heard at the meetings.

>>	OP Mon Nov 9 08:17:10 2020 No.12321847 >>12321728 This discord is /sci/ based, nothing to worry about

>>	Anonymous Mon Nov 9 10:15:32 2020 No.12322144 File: 904 KB, 500x532, 1604458990057.gif [View same] [iqdb] [saucenao] [google]

>>	Anonymous Mon Nov 9 11:42:56 2020 No.12322395 Cool.

>>	Anonymous Mon Nov 9 14:01:05 2020 No.12322899 >>12316678 heckin dog

>>	Anonymous Mon Nov 9 14:04:32 2020 No.12322922 >>12316665 BUMP

>>	Anonymous Mon Nov 9 15:02:14 2020 No.12323137 >>12322922 >>12322899 >>12322144 >>12320311 >>12317977 >>12316788 thread = blessed

>>	Anonymous Mon Nov 9 15:10:17 2020 No.12323174 >>12316665 Man this sounds so fucking comfy. It's a damn shame that I am not prepared yet to tackle lie groups because I've heard they are really interesting :(

>>	Anonymous Mon Nov 9 15:14:47 2020 No.12323185 >>12323174 core of the book are lie algebras anyway, and lie algebras are literally just linear algebra. you don't need THAT much.

>>	Anonymous Mon Nov 9 15:29:27 2020 No.12323236 >>12323174 Yeah what are your prerequisites? We're first covering Lie Algebra which doesn't require smooth manifolds

>>	OP Mon Nov 9 15:30:33 2020 No.12323244 >>12323174 You can still join, Lie Algebras are the main focus of study. Smooth manifold background is not required. We'll bring you up to speed if there's anything big to know. If not, youre still welcome to lurk and talk math >>12323185 Read my mind

Anonymous Mon Nov 9 15:32:45 2020 No.12323253
File: 294 KB, 703x821, __mononobe_no_futo_touhou_drawn_by_suzuki_kikura__19e4f56079f088810398448aae9cf49a.jpg [View same] [iqdb] [saucenao] [google]

>>12321845
What's Nikolaj doing in a Lie groups study discord? I'm pretty sure he knows that stuff frontwards backwards.

>>	Anonymous Mon Nov 9 19:10:05 2020 No.12324167 >>12323253 Just hanging around I suppose

>>	Anonymous Mon Nov 9 19:41:26 2020 No.12324288 Damn, Lie algebras fucking scare me.

>>	Anonymous Mon Nov 9 19:44:11 2020 No.12324295 >>12324288 They're not bad if you're given the right introduction

>>	Anonymous Mon Nov 9 19:47:01 2020 No.12324304 >>12323253 it's the algebraic topology discord from Summer, it just moved on to another book

>>	Anonymous Mon Nov 9 21:02:48 2020 No.12324512 >>12324304 Ah

>>	Anonymous Mon Nov 9 22:46:08 2020 No.12324862 >>12324512 Was that really worth a post anon? "Ah"? You know a thread got bumped behind for that

>>	Anonymous Mon Nov 9 22:49:55 2020 No.12324873 >>12324862 Anon, I...

>>	Anonymous Tue Nov 10 05:08:28 2020 No.12325607 >>12324862 Oh

>>	Anonymous Tue Nov 10 06:56:24 2020 No.12325771 >>12317514 hartshorne is outdated now

>>	Anonymous Tue Nov 10 07:11:11 2020 No.12325809 File: 313 KB, 674x859, 1604939986855.png [View same] [iqdb] [saucenao] [google] >>12325771 Why? What's better?

>>	Anonymous Tue Nov 10 07:25:41 2020 No.12325867 >>12325809 http://math.stanford.edu/~vakil/216blog/FOAGnov1817public.pdf

>>	Anonymous Tue Nov 10 08:38:19 2020 No.12326117 >>12325867 Yeah Vakil BTFO a lot. His lectures "AGGITOC" might be a good supplement for you.

>>	Anonymous Tue Nov 10 09:26:41 2020 No.12326239 >>12326117 Yeah I checked those out on Youtube. They're alright, but I think that the book he wrote was better for me.

>>	Anonymous Tue Nov 10 10:57:56 2020 No.12326488 >>12326239 Thanks

>>	Anonymous Tue Nov 10 11:24:57 2020 No.12326592 >>12316665 >friend group got together to learn math where do I acquire friend of this calibre

>>	Anonymous Tue Nov 10 11:40:53 2020 No.12326661 >>12326592 they're all from sci, youre in the best place

>>	Anonymous Tue Nov 10 11:51:16 2020 No.12326704 >>12318074 >but then a whole book is an overkill If you want to know Lie groups you should at least know the content of the book, it's not overkill imho. It's an introductory book to a main mathematical tool in physics

>>	Anonymous Tue Nov 10 11:55:44 2020 No.12326726 >>12326704 yes

>>	Anonymous Tue Nov 10 16:18:29 2020 No.12327753 >>12326661 >best place This but unironically

>>	Anonymous Wed Nov 11 01:50:28 2020 No.12329391 File: 90 KB, 309x319, 1604587531836.png [View same] [iqdb] [saucenao] [google] >>12327753 >>best place >This but unironically this but ironically pls

>>	Anonymous Wed Nov 11 08:47:44 2020 No.12330010 >>12316665 Interesting, but I don't know if I have the math background...

>>	Anonymous Wed Nov 11 09:38:16 2020 No.12330114 >>12316665 >tldr is as long as the post

>>	Anonymous Wed Nov 11 11:29:42 2020 No.12330399 >>12330114 Youre fucking retarded its the shortest part of the post

>>	Anonymous Wed Nov 11 13:42:41 2020 No.12330816 File: 3.89 MB, 241x328, 1605039845986.gif [View same] [iqdb] [saucenao] [google]

>>	Anonymous Wed Nov 11 13:49:01 2020 No.12330852 >>12330114 >>tldr is as long as the post >being this autistic

>>	Anonymous Wed Nov 11 13:53:43 2020 No.12330875 File: 410 KB, 1440x2560, Screenshot_20201111-093826.png [View same] [iqdb] [saucenao] [google] >>12316665 Can I learn math is I try hard.

>>	Anonymous Wed Nov 11 14:03:19 2020 No.12330914 >>12330875 Yes

>>	Anonymous Wed Nov 11 14:34:33 2020 No.12331063 >>12330914 I love you

>>	go back Wed Nov 11 14:42:48 2020 No.12331090 >>12326661 >they're all from sci kill yourself newfaggot nigger retard

Anonymous Wed Nov 11 18:35:03 2020 No.12332040
File: 31 KB, 420x420, EK9BgobW4AAYaqE.jpg [View same] [iqdb] [saucenao] [google]

>>12331090
Shut the fuck up you newfaggot nigger retard. You dont even know how to use the word newfag, you newfag. He said that all the people on the discord are from /sci/. How is that a newfag thing to say? Go talk to your schizo therapist, fuckwat

>>	Anonymous Wed Nov 11 18:56:24 2020 No.12332117 >>12316665 >Math is all lies The meme is real

>>	Anonymous Wed Nov 11 21:42:59 2020 No.12332532 >>12332040 wait a second just WHAT is that froge smoking??

>>	Anonymous Wed Nov 11 22:18:39 2020 No.12332581 >>12332532 sneed

>>	Anonymous Thu Nov 12 06:54:48 2020 No.12333384 >>12326704 shut up

>>	Anonymous Thu Nov 12 09:43:21 2020 No.12333791 >>12326704 >>12333384 yeah shut up

>>	Anonymous Thu Nov 12 09:45:32 2020 No.12333799 >>12333384 You shut up and go back.

>>	Anonymous Thu Nov 12 11:23:05 2020 No.12334072 Hall is a good book. Hard to find better treatments of Lie Theory.

>>	Anonymous Thu Nov 12 11:29:56 2020 No.12334089 >>12333384 >>12331090 Take your meds schizos

>>	Anonymous Thu Nov 12 12:03:58 2020 No.12334232 >>12334089 Agreed and sneed.

>>	Anonymous Thu Nov 12 13:09:27 2020 No.12334459 File: 181 KB, 721x1002, jay_kay_rollin.jpg [View same] [iqdb] [saucenao] [google] >>12334072 Which Lie algebra is the best Lie algebra?

>>	Anonymous Thu Nov 12 14:23:04 2020 No.12334741 >>12334459 All of them.

>>	Anonymous Thu Nov 12 20:51:37 2020 No.12335847 bump

>>	Anonymous Thu Nov 12 21:35:04 2020 No.12336030 >>12335847 2

>>	Anonymous Fri Nov 13 09:12:20 2020 No.12337188 >>12336030 ????

>>	Anonymous Fri Nov 13 09:45:06 2020 No.12337260 >>12316665 Is Lie Theory an active field of research?

>>	Anonymous Fri Nov 13 10:28:05 2020 No.12337389 >>12337260 I am not sure.

Anonymous Fri Nov 13 10:31:27 2020 No.12337396

>>12337260
Not really I would presume. Of course applications of Lie Theory are used in research, it doesnt appear that Lie Theory itself is in development just like Calculus or Linear Algebra isn't an "active field" of research, though research exists using results from those fields.

>>	Anonymous Fri Nov 13 10:46:23 2020 No.12337444 >>12337260 No, but it is incredibly useful in physics and mathematics

>>	Anonymous Fri Nov 13 11:37:27 2020 No.12337581 >>12337444 I'll look more into it, thank you.

>>	Anonymous Fri Nov 13 13:12:24 2020 No.12337881 >>12337444 >No Sure it is - I mean as much as any subfield of group theory. You have fields medalists writing paper about it still today, so..

Anonymous Fri Nov 13 13:13:34 2020 No.12337883

>>12337389
>>12337396
>>12337444
>No
Sure it is - I mean as much as any subfield of group theory. You have award winning mathematicians writing paper about it still today, so..

Similarly, you have many engineers developing algorithms on such manifolds too.

>>	Anonymous Fri Nov 13 13:26:45 2020 No.12337927 >>12337883 >You have award winning mathematicians writing paper about it still today Could you give examples? They'd be great to have

>>	Anonymous Fri Nov 13 20:30:27 2020 No.12339255 >>12337927 Check Sophus Lie

>>	Anonymous Fri Nov 13 22:12:42 2020 No.12339498 >>12339255 He created the subject you brainlet. Hes DEAD

>>	Anonymous Sat Nov 14 00:07:21 2020 No.12339717 >>12339498 Ys

>>	Anonymous Sat Nov 14 01:43:39 2020 No.12339886 SAMEFAGGING

>>	Anonymous Sat Nov 14 06:20:40 2020 No.12340363 >>12337927 https://youtu.be/LeaiPHAh0X0

>>	Anonymous Sat Nov 14 13:58:59 2020 No.12341518 bump

>>	Anonymous Sat Nov 14 17:47:32 2020 No.12342313 >>12316665 did anyone attend the lecture? how was it??

>>	Anonymous Sat Nov 14 20:16:43 2020 No.12342783 >>12342313 pretty fun, you are not late to join!

>>	Anonymous Sun Nov 15 07:26:11 2020 No.12344079 >>12342313 unpleasant

>>	Anonymous Sun Nov 15 08:11:59 2020 No.12344128 >>12344079 How so?

>>	Anonymous Sun Nov 15 12:28:04 2020 No.12344851 >>12344128 Lol jk

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