Timeline for Finite dimensional irreducible representations of $\frak{sl}_m$ with non-trivial zero weight spaces
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Nov 9, 2023 at 19:55 | comment | added | Richard Stanley | Even more strongly, we can ask what is the action of the the Weyl group $S_m$ on the 0-weight space. One reference is David Gay, jstor.org/stable/44236121. | |
| Nov 9, 2023 at 18:10 | vote | accept | Béla Fürdőház | ||
| Nov 9, 2023 at 17:46 | answer | added | Sam Hopkins | timeline score: 3 | |
| Nov 9, 2023 at 17:31 | comment | added | Béla Fürdőház | If you put this as an answer I am happy to accept it. | |
| Nov 9, 2023 at 17:30 | history | edited | Venkataramana | CC BY-SA 4.0 |
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| Nov 9, 2023 at 17:27 | comment | added | Béla Fürdőház | Ok, so the $i$-th column in the Cartan matrix gives the coefficients of $\alpha_i$ in terms of the fundamental weights $\pi_j$? | |
| Nov 9, 2023 at 17:18 | comment | added | Béla Fürdőház | @SamHopkins: That is quite good! So for $\mathfrak{sl}_3$ can we describe the root lattice in terms of the fundamental weights $\pi_1$ and $\pi_2$? | |
| Nov 9, 2023 at 17:02 | history | asked | Béla Fürdőház | CC BY-SA 4.0 |