- Commit
- f5e1d9a728d8325b6b6a06c3c4b4015e72db870f
- Parent
- 1b8026a4577ff005fec4e6564d12b4fafd89ee02
- Author
- Pablo <pablo-escobar@riseup.net>
- Date
Minor tweak in notation
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, 3 deletions
| Status | File Name | N° Changes | Insertions | Deletions |
| Modified | sections/coherent-families.tex | 6 | 3 | 3 |
diff --git a/sections/coherent-families.tex b/sections/coherent-families.tex @@ -509,9 +509,9 @@ Proposition~\ref{thm:better-sl(n)-parameters}. We denote by \(\mathscr{B}\) the set of \(\mathfrak{sl}_n\)-sequences \(m\) which are \emph{not} ordered, but becomes ordered after removing one term. We also consider the \emph{extremal} subsets \(\mathscr{B}^+ = \{m \in - \mathscr{B} : (m_2, m_3, \ldots, m_n) \ \text{is ordered}\}\) and - \(\mathscr{B}^- = \{m \in \mathscr{B} : (m_1, m_2, \ldots, m_{n - 1}) \ - \text{is ordered}\}\). + \mathscr{B} : (\widehat{m_1}, m_2, \ldots, m_n) \ \text{is ordered}\}\) and + \(\mathscr{B}^- = \{m \in \mathscr{B} : (m_1, \ldots, m_{n - 1}, + \widehat{m_n}) \ \text{is ordered}\}\). \end{definition} % TODO: Add a picture of parts of 𝓑 for n = 3 in here