Lie group

Further examples can be found in the table of Lie groups.

Lie groups are used to study space, structure, and change.

Other techniques specific to Lie groups are used as well.

It's easy to extend the results to the Lie group.

It is a homogeneous space for a Lie group action, in more than one way.

The notion of a real form can also be defined for complex Lie groups.

In particular, this has an application to the classification of Lie groups.

Unfortunately there is no single standard definition of a simple Lie group.

They are the smallest of the five exceptional simple Lie groups.

Lie groups play an enormous role in modern geometry, on several different levels.

This is a significant result, as other Lie groups lead to different normalizations.

The Lie group acts on the vector space in a natural way.

For any Lie group, a natural volume form may be defined by translation.

He published a number of books, including a work on the history of Lie groups.

It could be either a real or complex simple Lie group of rank 4 and dimension 28.

They also appear prominently in the classification of Lie groups.

There are several standard ways to form new Lie groups from old ones:

It is an example of a Lie group map.

These guys are the most crooked, you know, lying group of people I've ever seen."

He has given several lectures on the Lie group E8.

This relationship is closest in the case of nilpotent Lie groups.

Subsequently the name homotopy Lie group has also been used.

The semisimple Lie groups have a deep theory, building on the compact case.

The above definitions and constructions all apply to the special case of Lie groups.

More precisely, "charge" should apply only to the root system of a Lie group.