/sci/ - Science & Math

[Anonymous No.11089614]

Why is group theory so comfy?

[Anonymous No.11089617]

>>11089614
more like why is group theory so BORING
why have a group when you can have a
>field
>ring
>vector space
>inner product space

[Anonymous No.11089623]

>>11089614
It's not. Groups are disgusting without a manifold structure, a locally compact topology with Haar measure, or a unitary representation.

[Anonymous No.11089632]

>>11089617
>>11089623
I'm just an excitable undergrad sorry :c

[Anonymous No.11089690]

>>11089632
groups are based don't listen to those fags

[Anonymous No.11089700]

>>11089632
So am I. Are you saying you didn't exhaust your interest in elementary group theory by the end of middle school? What is there to do after the Sylow theorems? Move on to something worthwhile like most high school students (add a topology)

[Anonymous No.11089703]

>>11089614
chemist here. group theory is OURS.

[Anonymous No.11089768]

>>11089703
True, do a C1 rotation and walk away.

[Anonymous No.11089781]

>>11089623
>the groups he works with don't automatically have such structures assumed onto them
Imagine being a mathtard baby who has to be handheld and told when he can and can't have a topology defined on his set. Looks like physicschad win again.
>NOOOO REE MOMMY NEVER SAID I COULD DEFINE A MANIFOLD STRUCTURE ON SU(2), YOU CAN'T TALK ABOUT PATH CONNECTEDNESS REEE
>DID YOU JUST ASSUME MY TOPOLOGY? WHAT IF MY GROUP IDENTIFIES AS A DISCRETE TOPOLOGICAL SPACE? REEEE
Cope.

[Anonymous No.11089810]

>>11089623
>bring up all this gay hacky geometry shit
>don't bring up galois theory

[Anonymous No.11090037]

>>11089614
It's because it's reminiscent of a game