[ 3 / biz / cgl / ck / diy / fa / ic / jp / lit / sci / vr / vt ] [ index / top / reports ] [ become a patron ] [ status ]
2023-11: Warosu is now out of extended maintenance.

/sci/ - Science & Math


View post   

File: 69 KB, 621x447, Screen shot 2011-03-16 at 10.47.24 PM.png [View same] [iqdb] [saucenao] [google]
2719279 No.2719279 [Reply] [Original]

Homework thread, but at least it's some real mathematics for a change...pic related, need help with 2. (b). one inclusion is trivial, for the other one I'm supposed to use Schur's lemma, any help? 347 internets to anyone who helps.

>> No.2719287
File: 54 KB, 805x768, green lex luthor.jpg [View same] [iqdb] [saucenao] [google]
2719287

>347 internets

>> No.2719293

>>2719287
I open to bargaining, you want more?

>> No.2719304
File: 1.22 MB, 1341x975, EAT BEARD.png [View same] [iqdb] [saucenao] [google]
2719304

>>2719293

yeah how about "ill stop being a stupid retarded faggot who goes to /b/"

>> No.2719320

>>2719304
wat? you can prove you're not stupider than me by helping me out with this exercise...

>> No.2719344
File: 148 KB, 1360x900, oh no how did this get here.jpg [View same] [iqdb] [saucenao] [google]
2719344

>>2719320

here's your answer

>> No.2719345

bump for science

>> No.2719362

>>2719344
I'd say you're the one who should stop going to /b/...

>> No.2719437

>>2719279
Sorry, /sci/ doesn't do actual mathematics or science. If you want to discuss Fukushima or transhumanism however, this is your place.

>> No.2719470
File: 70 KB, 500x436, cutey_Fainting4Emma.jpg [View same] [iqdb] [saucenao] [google]
2719470

As a theoretical physicist in my 5th year, I'm barely able to read the question. What do you expect from /sci/?
When it comes to pre 3th year collage mathematics, there is no other algebraically closed field than the algebraically closed extention of R.

>> No.2719556

>>2719470
>As a theoretical physicist in my 5th year, I'm barely able to read the question.
right, so physicists are notorious for not liking formal math much but come on this is basic! you can't tell me you're doing theoretical physics in your 5h year without knowing basic representation theory of finite groups...you must have heard about it in your QM lectures...

>> No.2719578

>>2719470
>When it comes to pre 3th year collage mathematics, there is no other algebraically closed field than the algebraically closed extention of R.
huh, OP here and I'm in my 3rd year...

>> No.2719594

I do chemical engineering and have no idea of what that question is even supposed to be.

>> No.2719611
File: 24 KB, 360x480, cutey_EmmaS.jpg [View same] [iqdb] [saucenao] [google]
2719611

>>2719556
As I said, as a physicist you don't work over any other fields than C and I'm not even sure what E is.
>>2719578
Is this Algebra 2 then, or something?

>> No.2719628

What. The. Fuck.

I'm a post-grad aerospace student and it doesn't even look like English to me.

>> No.2719635

>>2719279

i am a biologist in my 3rd year and i can barely understand what..wait, i cant at all and i probably never will.

>> No.2719645
File: 1.01 MB, 1231x1650, cutey_EmmaRed.jpg [View same] [iqdb] [saucenao] [google]
2719645

I'd also deny that
>physicists are notorious for not liking formal math.

>> No.2719659

je suis evariste galois, dans ma deuxième année, et je ne comprends pas

>> No.2719660

I have six PhD's in math and not even I know what that is.

>> No.2719670

>>2719645
wrong. most physicists really don't like formal maths.

>> No.2719694

Find a <span class="math">\pi[/spoiler] for all <span class="math">M(\pi)\subset{E}[/spoiler] such that <span class="math">\pi[/spoiler] is a bijection over <span class="math">k[/spoiler]

>> No.2719705
File: 295 KB, 846x1067, cutey_EmmaNiceSurprise.jpg [View same] [iqdb] [saucenao] [google]
2719705

>>2719670
okay yes, if you count in experimentalists, then this is obviously true.

>> No.2719720

>>2719694
pi is 3, how can it be a bijction

>> No.2719730
File: 86 KB, 917x1280, cutey_EmmaRed2.jpg [View same] [iqdb] [saucenao] [google]
2719730

>>2719720
It's a bijection if you use right the Cartan connection.

>> No.2719742

and this is why I stick to applied maths,

inferior math bro here who cannot help.

>> No.2719799

>>2719611
>Is this Algebra 2 then, or something?
no, that was last year. this is just a lecture titled "Repesentation Theory". but most 3rd year students heat take it.
>>2719594
>>2719628
>>2719635
you don't surprise me. that's not something anyone who's not a mathematician or theoretical physicist will ever see, even if it's quite basic actually and one of the most useful tools in modern mathematics.
>>2719659
>>2719660
laughed my ass off.
>>2719694
don't see what you mean...but I think I've got it anyways...basically writing <span class="math">\displaystyle M(\pi)=F_1+\cdots +F_l[/spoiler] you get by Schur's lemma that <span class="math">\displaystyle\operatorname{Hom}_G(\pi, E_s)=0[/spoiler] for every <span class="math">\displaystyles\ni I(\pi)[/spoiler]. thus by assumption we then have <span class="math">\displaystyle\operatorname{Hom}_G(F_j,E_s)=0[/spoiler] for all <span class="math">\displaystyle 1\leq j\leq l[/spoiler]. the trick then is to realize that the canonical projection of the direct sum E onto a factor is a G-morphism and thus <span class="math">\displaystyleF\subset\bigoplus_{i\in I(\pi)}E_i[/spoiler] and then you're done.

>> No.2719806

>>2719694
don't see what you mean...but I think I've got it anyways...basically writing <span class="math">\displaystyle M(\pi)=F_1+\cdots +F_l[/spoiler] you get by Schur's lemma that <span class="math">\displaystyle Hom_G(\pi, E_s)=0[/spoiler] for every <span class="math">\displaystyle s\ni I(\pi)[/spoiler]. thus by assumption we then have <span class="math">\displaystyle Hom_G(F_j,E_s)=0[/spoiler] for all <span class="math">\displaystyle 1\leq j\leq l[/spoiler]. the trick then is to realize that the canonical projection of the direct sum E onto a factor is a G-morphism and thus <span class="math">\displaystyle F\subset\bigoplus_{i\in I(\pi)}E_i[/spoiler] and then you're done.

>> No.2719812

Anyone who hasn't had representation theory won't know what the fuck the question is about.

It's probably simple if you do know what the stuff stands for.

>>2719705
more of her please.

>> No.2719882

>>2719742
awww...thx anyways.
and to all: thx for the help guys (you tried) and thx for the additions to my /b/- and fap-folder.