- Commit
- a59903ddc00e7c68bc1df7d6405b00114b09104b
- Parent
- 52ddd24e2b13c286f7154f38d1a0891831a2a99d
- Author
- Pablo <pablo-escobar@riseup.net>
- Date
Removed a TODO item
lie-algebras-and-their-representations
Source code for my notes on representations of semisimple Lie algebras and Olivier Mathieu's classification of simple weight modules
Diffstat
1 file changed, 0 insertions, 2 deletions
| Status | File Name | N° Changes | Insertions | Deletions |
| Modified | sections/coherent-families.tex | 2 | 0 | 2 |
diff --git a/sections/coherent-families.tex b/sections/coherent-families.tex @@ -102,8 +102,6 @@ combinatorial counterpart. % TODOO: Note beforehand that the Weyl group of sp(2n) is S_n ⋉ (ℤ/2)^n. Write % down the isomorphism explicitly in terms of the basis Σ % TODOO: Perhaps its best to keep this information in here? -% TODO: Change the notation for this? We use the notation α_i instead of ϵ_i in -% the previous chapters We can find an orthonormal basis \(\{\epsilon_1, \ldots, \epsilon_n\}\) for \(\mathfrak{h}^*\) such that \(\Delta = \{\pm \epsilon_i \pm \epsilon_j\}_{i \ne j} \cup \{2 \epsilon_i\}_i\). Take the basis \(\Sigma = \{ \beta_1, \cdots,