# lie groups in a sentence

- This is analogous to the homology of families
*Lie groups* stabilizing. - They are the smallest of the five exceptional simple
*Lie groups*. - This relationship is closest in the case of nilpotent
*Lie groups*. - The concept generates the adjoint representation of a
*Lie group* Ad. - Note that
*Lie groups* do not come equipped with a metric. - It's difficult to find
*lie groups* in a sentence. - The
*Lie group* that it generates is the special linear group. - It is a closed subgroup of so a compact
*Lie group*. - Elementary examples of
*Lie groups* are translations, rotations and scalings. - To every
*Lie group*, one can associate a Lie algebra. - However, with the group topology, is a
*Lie group*. - These double covers are
*Lie groups*, called the spin groups or. - The irreducible representations of all compact connected
*Lie groups* have been classified. - *As a
*Lie group*, has a manifold structure. - We then have a short exact sequence of
*Lie groups*: - It is one of the five exceptional simple
*Lie groups*.