Timeline for Homomorphisms from irreducible spaces to reducible spaces
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 21, 2014 at 9:02 | vote | accept | vishmay | ||
| Oct 18, 2014 at 0:47 | answer | added | David Hill | timeline score: 1 | |
| Oct 13, 2014 at 19:20 | comment | added | Abdelmalek Abdesselam | I would look up the book "Young Tableaux" by William Fulton and especially Chapter 8 on the representations of the general linear group. | |
| Oct 13, 2014 at 18:59 | comment | added | vishmay | Thanks a lot for your answer. How does one show that the answer to the Q1 is Yes? and prove the answer to the q2 is multiplicity? Can you please let me know some references where in I can learn about these stuff? and see how to concretely define these hom's in general case.I am a physicist and I am not an expert on these. Kind regards and thanks again for your reply. | |
| Oct 13, 2014 at 18:32 | comment | added | Abdelmalek Abdesselam | Q1: yes. Q2: the number of linearly independent morphisms of this sort is precisely the multiplicity of the irreducible inside the reducible space. Such a homomorphism is also what invariant theorists in the 1850's and following years called covariants or mixed concomitants. | |
| Oct 13, 2014 at 18:26 | history | edited | vishmay | CC BY-SA 3.0 |
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| Oct 13, 2014 at 15:39 | history | edited | vishmay | CC BY-SA 3.0 |
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| Oct 13, 2014 at 15:13 | review | First posts | |||
| Oct 13, 2014 at 15:18 | |||||
| Oct 13, 2014 at 15:08 | history | asked | vishmay | CC BY-SA 3.0 |