- Commit
- 3c9f6c61ca102a04df780ac16ba90c2c57b6b360
- Parent
- 45e040d1a001023d7831dd72a1dc8acc2c579511
- Author
- Pablo <pablo-escobar@riseup.net>
- Date
Removed a reference to the title of a book
Source code for my notes on representations of semisimple Lie algebras and Olivier Mathieu's classification of simple weight modules
Removed a reference to the title of a book
1 file changed, 4 insertions, 4 deletions
Status | File Name | N° Changes | Insertions | Deletions |
Modified | sections/introduction.tex | 8 | 4 | 4 |
diff --git a/sections/introduction.tex b/sections/introduction.tex @@ -679,10 +679,10 @@ algebraic affair, but the universal enveloping algebra of the Lie algebra of a Lie group \(G\) is in fact intimately related with the algebra \(\operatorname{Diff}(G)\) of differential operators \(C^\infty(G) \to C^\infty(G)\) -- i.e. \(\mathbb{R}\)-linear endomorphisms \(C^\infty(G) \to -C^\infty(G)\) of finite order, as defined in Coutinho's \citetitle{coutinho} -\cite[ch.~3]{coutinho} for example. Algebras of differential operators and -their modules are the subject of the theory of \(D\)-modules, which has seen -remarkable progress in the past century. Specifically, we find\dots +C^\infty(G)\) of finite order, as defined in \cite[ch.~3]{coutinho} for +example. Algebras of differential operators and their modules are the subject +of the theory of \(D\)-modules, which has seen remarkable progress in the past +century. Specifically, we find\dots \begin{proposition}\label{thm:geometric-realization-of-uni-env} Let \(G\) be a Lie group and \(\mathfrak{g}\) be its Lie algebra. Denote by