Difference between revisions of "Talk:Aufgaben:Problem 13"
From Ferienserie MMP2
Line 12: | Line 12: | ||
- [[User:Snick|Snick]] ([[User talk:Snick|talk]]) 13:06, 30 July 2015 (CEST) | - [[User:Snick|Snick]] ([[User talk:Snick|talk]]) 13:06, 30 July 2015 (CEST) | ||
+ | |||
+ | I don't think you can make it any shorter. Shur's Lemma is used implicitly in the proof (claim 2), and to it you | ||
+ | must first show that T is a homomorphism of representations (i.e. claim 1). The Felder Skript provesClaim 2 | ||
+ | and Claim 5, but then you must still show the rest. |
Revision as of 09:30, 31 July 2015
There is an alternative way of proving (a) in the Felder Script:
https://people.math.ethz.ch/~felder/mmp/mmp2/
see chapter 3 -> Satz 3.1. and chapter 2 -> Satz 2.6 for a prove of Schur's lemma.
It seems to be shorter, and thus is probably better for the exam... Carl (talk) 23:16, 13 June 2015 (CEST)
Did anyone succeed in getting a shorter solution for a) by using Schur's lemma (as suggested by Carl)?
- Snick (talk) 13:06, 30 July 2015 (CEST)
I don't think you can make it any shorter. Shur's Lemma is used implicitly in the proof (claim 2), and to it you must first show that T is a homomorphism of representations (i.e. claim 1). The Felder Skript provesClaim 2 and Claim 5, but then you must still show the rest.