Lifting invariants for SES

  • #1
Office_Shredder
Staff Emeritus
Science Advisor
Gold Member
3,750
99

Main Question or Discussion Point

I'm trying to read Serre's book on Lie algebras and have run into something I can't figure out. Luckily it's on google books so I'll just post a link to the point in question:

http://books.google.com/books?id=ha...&q="principle of lifting invariants"&f=false"

What the heck is the principle of lifting invariants? I can't find anything useful on google easily, and attempts to just prove the result myself fall short (I'm not even sure what the hypothesis is supposed to be, or what the principle is supposed to state exactly). Any illumination would be greatly appreciated
 
Last edited by a moderator:

Answers and Replies

  • #2
13,215
10,111
Unfortunately it is hard to read, esp. whether and if so what ##s## is. Lifting in the context of exact sequences normally refers to a process of recovering something in opposite direction. Here we consider a preimage under the surjective transformation, and possibly whether it is already in the submodule.
 

Related Threads on Lifting invariants for SES

  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
8
Views
2K
  • Last Post
Replies
3
Views
3K
  • Last Post
Replies
6
Views
5K
  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
3
Views
8K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
1
Views
3K
Top