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Much of the rudimentary stuff requested above is accessible via an online sql database that I set up. It's at

http://lie.math.okstate.edu/UMRK/UMRK.html

Don't be scared of the phrase "sql database". It is extremely easy to use for simple queries. For example, if you want to know how the Lie algebra E8 decomposes under its various maximal compact subalgebras you could get a table for that and more by simply filling out a form that passes the question to the database as an SQL query:

SELECT k , vogan_diagram , satake_diagram , k , krep_p , krep_k , rel_root_sys

FROM realform_data

WHERE g='E8'

With just a smidgen of SQL experience it's equally easy to design correlative queries utilizing data from more than one table.

The UMRK database contains following tables:

g_data : data for simple complex Lie algebras (a la Bourbaki)

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

(BTW this thread was brought to my attention by Jeff Adams.)

Birne Binegar