- Commit
- e7bf45af59b37e75e14bbe0923887613c5f9deaf
- Parent
- e4156ebd9234c44a44269d8af459075a532634eb
- Author
- Pablo <pablo-escobar@riseup.net>
- Date
Automated the "47 pages left" thing from chapter 2
Source code for my notes on representations of semisimple Lie algebras and Olivier Mathieu's classification of simple weight modules
Automated the "47 pages left" thing from chapter 2
3 files changed, 12 insertions, 3 deletions
Status | File Name | N° Changes | Insertions | Deletions |
Modified | preamble.tex | 6 | 6 | 0 |
Modified | sections/complete-reducibility.tex | 7 | 4 | 3 |
Modified | sections/mathieu.tex | 2 | 2 | 0 |
diff --git a/preamble.tex b/preamble.tex @@ -16,6 +16,7 @@ \usepackage{rank-2-roots} \usepackage{fancyhdr} \usepackage{titling} +\usepackage{refcount} % Configure how link look \hypersetup{ @@ -194,3 +195,8 @@ \draw[shorten <=0.2em, #1] (#2.west) -- (#3.east); \end{tikzpicture} } + +% Command for printing the number of pages between two labels +\newcommand{\pagedifference}[2]{% + \number\numexpr\getpagerefnumber{#2}-\getpagerefnumber{#1}\relax} +
diff --git a/sections/complete-reducibility.tex b/sections/complete-reducibility.tex @@ -1,14 +1,15 @@ \chapter{Semisimplicity \& Complete Reducibility} -% TODO: Automate the "47 pages" thing +\label{start-47} + Having hopefully established in the previous chapter that Lie algebras and their representations are indeed useful, we are now faced with the Herculean task of trying to understand them. We have seen that representations can be used to derive geometric information about groups, but the question remains: how to we go about classifying the representations of a given Lie algebra? This is a question that have sparked an entire field of research, and we cannot hope -to provide a comprehensive answer the 47 pages we have left. Nevertheless, we -can work on particular cases. +to provide a comprehensive answer in the \pagedifference{start-47}{end-47} +pages we have left. Nevertheless, we can work on particular cases. For instance, one can readily check that a representation \(V\) of the \(n\)-dimensional Abelian Lie algebra \(K^n\) is nothing more than a choice of
diff --git a/sections/mathieu.tex b/sections/mathieu.tex @@ -1453,3 +1453,5 @@ subject. Alas, our journey has come to an end. All its left is to wonder at the beauty of Lie algebras and their representations. + +\label{end-47}