- Commit
- 68397c8ab26e4779ea52188105d238176104fa8b
- Parent
- c7ee9fa8d2aa274cfa3f37204defa6632497a32f
- Author
- Pablo <pablo-escobar@riseup.net>
- Date
Minor tweak to the statement of a lemma
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, 3 insertions, 2 deletions
| Status | File Name | N° Changes | Insertions | Deletions |
| Modified | sections/coherent-families.tex | 5 | 3 | 2 |
diff --git a/sections/coherent-families.tex b/sections/coherent-families.tex @@ -381,8 +381,9 @@ all \(i\) and \(j\). % TODOO: What happens when i = 1?? Do we need to suppose i > 1? % TODO: For instance, consider m = (1, 1, -2) \item If \(m\) is singular then there exists unique \(m' \in W \cdot m\) - and \(i\) such that \(m'_i = m'_{i + 1}\) and \((m_1', \cdots, m_i')\) - and \((m_{i + 1}', \ldots, m_n')\) are ordered, in which case the + and \(i\) such that \(m'_i = m'_{i + 1}\) and \((m_1', \cdots, m_{i-1}', + \widehat{m_i'}, m_{i + 1}', \ldots, m_n')\) is ordered, in which + case the connected component of \(m\) is given by \[ \begin{tikzcd}[cramped, row sep=small]