I What are the best resources for learning about Lorentz group representations?

Silviu
Messages
612
Reaction score
11
Hello! Can someone recommend me some good reading about the Lorentz group and its representations? I want something to go pretty much in all the details (not necessary proofs for all the statements, but most of the properties of the group to be presented). Thank you!
 
Physics news on Phys.org
Take a look at chapter 2 of "A Modern Introduction to Quantum Field Theory" by Michele Maggiore.
 

Thread '##(A/\mathfrak{a})_{\mathfrak{p}/\mathfrak{a}}## and its isomorphism?'

I asked online questions about Proposition 2.1.1: The answer I got is the following: I have some questions about the answer I got. When the person answering says: ##1.## Is the map ##\mathfrak{q}\mapsto \mathfrak{q} A _\mathfrak{p}## from ##A\setminus \mathfrak{p}\to A_\mathfrak{p}##? But I don't understand what the author meant for the rest of the sentence in mathematical notation: ##2.## In the next statement where the author says: How is ##A\to...
View full post »

Thread 'Questions about non existence of GCDs vs (coimages, cokernels)'

The following are taken from the two sources, 1) from this online page and the book An Introduction to Module Theory by: Ibrahim Assem, Flavio U. Coelho. In the Abelian Categories chapter in the module theory text on page 157, right after presenting IV.2.21 Definition, the authors states "Image and coimage may or may not exist, but if they do, then they are unique up to isomorphism (because so are kernels and cokernels). Also in the reference url page above, the authors present two...
View full post »

Thread 'Decomposition into irreps of compact Lie group'

When decomposing a representation ##\rho## of a finite group ##G## into irreducible representations, we can find the number of times the representation contains a particular irrep ##\rho_0## through the character inner product $$ \langle \chi, \chi_0\rangle = \frac{1}{|G|} \sum_{g\in G} \chi(g) \chi_0(g)^*$$ where ##\chi## and ##\chi_0## are the characters of ##\rho## and ##\rho_0##, respectively. Since all group elements in the same conjugacy class have the same characters, this may be...
View full post »

Similar threads

I Understanding 4-Vector Representations in the Lorentz Group
Replies
2
Views
2K
I Adjoint Representation Confusion
Replies
3
Views
3K
A In what representation do Dirac adjoint spinors lie?
Replies
1
Views
3K
I Are my thoughts about groups correct?
Replies
1
Views
1K
I Why are direct sums of Lorentz group representations important in physics?
Replies
4
Views
2K
I 6-dimensional representation of Lorentz group
Replies
6
Views
2K
I Fundamental representation and adjoint representation
Replies
27
Views
3K
A What Is a Lie Group?
Replies
11
Views
3K
I How Do SU(2) and SO(3) Relate to Spinors and Vectors in Physics?
Replies
11
Views
3K
Explicitly Deriving Spinor Representations from Lorentz Group
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top