Exceptional Lie algebra

Exceptional Lie algebras are a special class of Lie algebras that are distinguished by their properties and their position within the broader classification scheme of finite-dimensional simple Lie algebras. There are exactly five exceptional Lie algebras, which are denoted as \( \text{G}_2 \), \( \text{F}_4 \), \( \text{E}_6 \), \( \text{E}_7 \), and \( \text{E}_8 \).