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

git clone: git://git.pablopie.xyz/lie-algebras-and-their-representations
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Commit: 271ee36062a38d669ece51f86a26fd661a75d01a
Parent: 52da57474e9930eff6e57ad6c35bbe42da4660cb
Author: Pablo <pablo-escobar@riseup.net>
Date: Wed, 30 Nov 2022 15:37:59 +0000

Minor tweak in notation

Diffstat

1 file changed, 2 insertions, 2 deletions

Status	File Name	N° Changes	Insertions	Deletions
Modified	sections/introduction.tex	4	2	2

diff --git a/sections/introduction.tex b/sections/introduction.tex
@@ -917,8 +917,8 @@ define\dots
 \begin{example}\label{ex:sl2-polynomial-subrep}
   Let \(K[x, y]\) be the \(\mathfrak{sl}_2(K)\)-module as in
   example~\ref{ex:sl2-polynomial-rep}. Since \(e\), \(f\) and \(h\) all
-  preserve the degree of monomials, the space \(K[x, y]^{(n)} = \bigoplus_{k = 0}^n
-  K x^{n - k} y^k\) of homogeneous polynomials of degree \(n\) is a
+  preserve the degree of monomials, the space \(K[x, y]^{(n)} = \bigoplus_{k +
+  \ell = n} K x^k y^\ell\) of homogeneous polynomials of degree \(n\) is a
   finite-dimensional subrepresentation of \(K[x, y]\).
 \end{example}