Any good reference on construction of irreducible representations of SU(N)?

Click For Summary

Discussion Overview

The discussion centers on the construction of irreducible representations of the special unitary group SU(N), specifically focusing on SU(3). Participants share references and resources that may assist in understanding this topic, which is relevant to theoretical physics and group theory.

Discussion Character

  • Technical explanation, Debate/contested, Meta-discussion

Main Points Raised

  • One participant inquires about methods to construct an irreducible representation of SU(3).
  • Another participant recommends Georgi's "Lie Algebras In Particle Physics: from Isospin To Unified Theories" as a valuable resource for graduate students.
  • A different participant mentions owning a book by a specific author, expressing appreciation for it and noting that it has received positive recommendations from others, although they have not read Georgi's book.
  • A participant shares a link to lecture notes that may provide additional insights on the topic.

Areas of Agreement / Disagreement

There is no explicit consensus on a single best reference, as participants suggest different resources and express varying levels of familiarity with them.

Contextual Notes

Participants do not clarify specific methods or techniques for constructing irreducible representations, and there may be assumptions about prior knowledge of group theory and representation theory that are not explicitly stated.

Who May Find This Useful

This discussion may be useful for graduate students and researchers interested in group theory, particularly in the context of particle physics and the mathematical foundations of SU(N) representations.

wdlang
Messages
306
Reaction score
0
how to construct an irreducible representation of SU(3)?
 
Physics news on Phys.org
Read (buy) Georgi's "Lie Algebras In Particle Physics: from Isospin To Unified Theories".
That's the best reference out there for graduate students on your question.
 

Similar threads

Graduate Why does D(1,1) representation of SU(3) give baryon octet?
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Delta Baryon Quartet: Constructing from SU(2) Symmetry
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Bases for SU(3) Adjoint representation
  • · Replies 8 ·
Replies
8
Views
10K
Graduate Why Is the Mixed SU(2) Term Invariant in Scalar Multiplet Models?
  • · Replies 2 ·
Replies
2
Views
4K
Graduate Three dimensional representation of ##U(1)\times SU(2)##
  • · Replies 6 ·
Replies
6
Views
2K
Graduate Questions about representation theory of Lie algebra
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Standard Model decompositions of larger group representations?
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Question about S(3) spontaneous symmetry breaking in Peskin & Schroeder
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Can Elementary Particles be related with irreducible representation?
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad How to derive irreducible representations/tensors?
  • · Replies 22 ·
Replies
22
Views
4K