Timeline for Resource for (String) Symmetry Breaking in Terms of Roots and Weights?
Current License: CC BY-SA 3.0
7 events
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| Jul 15, 2015 at 7:41 | history | edited | jak | CC BY-SA 3.0 |
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| Jul 11, 2015 at 18:13 | history | notice added | Qmechanic♦ | Book Recommendation | |
| Jul 11, 2015 at 18:13 | history | made wiki | Post Made Community Wiki by Qmechanic♦ | ||
| Jul 8, 2015 at 16:13 | history | edited | jak | CC BY-SA 3.0 |
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| Jul 7, 2015 at 14:53 | comment | added | jak | @ACuriousMind Firstly, simply laced algebras are self dual and in physics we deal almost exclusively with simply laced algebras. Secondly, roots are generators. We label the elements of each representation by the Cartan generator eigenvalues. This gives us, in general, the weights that define the representation. For the adjoint rep the weights are called roots. The adjoint rep is the rep on the groups own Lie algebra and therefore roots are generators | |
| Jul 7, 2015 at 14:51 | comment | added | ACuriousMind♦ | I know of no resource, so just a nitpick on terminology: Roots are not generators, they live in the dual of the Cartan subalgebra, not in the whole Lie algebra (or its dual). | |
| Jul 7, 2015 at 12:29 | history | asked | jak | CC BY-SA 3.0 |