UMRK is a PostgreSQL database consisting of
a series of seven tables: g_data : data for simple complex Lie algebras
orbit_data : data for nilpotent orbits of simple complex Lie algebras
wrep_data : data for the irreducible representations of Weyl groups of simple complex Lie algebras
ss_data : data for the root subsystems of simple complex Lie algebras
levi_data :data for the Levi subsystems of simple complex Lie algebras
wcc_data : data for the conjugacy classes of Weyl groups of simple complex Lie algebras
realform_data : data for the real forms simple complex Lie algebras
The data in each of these tables can be obtained by filling out a simple query form
and more sophisticated queries (e.g. correlating data in more than one table) can be obtained by entering an SQL command into an
SQL form .
Below is a listing of the data fields in each of these tables (with links to some brief explanations of their content) .