Lie Presentation
Lie Presentation is a mathematical concept used in the study of Lie groups and Lie algebras. It provides a way to represent a Lie group as a group of transformations, making it easier to analyze their structure and properties. This representation helps in understanding how the group acts on various mathematical objects.
In a Lie presentation, the group is defined by generators and relations. The generators are the basic elements that can be combined to form other elements of the group, while the relations specify how these generators interact. This framework is essential in areas such as theoretical physics and differential geometry, where symmetry plays a crucial role.