diff --git a/computations/C_L_elements_and_products.ipynb b/computations/C_L_elements_and_products.ipynb
index e0347e3..5912443 100644
--- a/computations/C_L_elements_and_products.ipynb
+++ b/computations/C_L_elements_and_products.ipynb
@@ -55,7 +55,7 @@
     "\n",
     "Also note that $C_L$ is a subgroup of $SU(2)$, so the inverse of an $a \\in C_L$ is $a^\\dagger$. Further $a$ has the structure $ a \\equiv \\left(\\begin{array}{cc}z_1 & z_2 \\\\ -z_2^* & z_1^* \\end{array}\\right)$ with the constraint $|z_1|^2 + |z_2|^2 = 1$.\n",
     "\n",
-    "This yields $\\forall a,b \\in L_C$: $a = b$ disregarding a global phase $\\Leftrightarrow ba^\\dagger = \\exp(i\\phi)\\mathbb{1}$ "
+    "This yields $\\forall a,b \\in C_L$: $a = b$ disregarding a global phase $\\Leftrightarrow ba^\\dagger = \\exp(i\\phi)\\mathbb{1}$ "
    ]
   },
   {