  In this survey, we present a detailed guide on using the computer algebra
system OSCAR to compute monomial bases for simple, finite-dimensional modules
of simple, complex Lie algebras. We will also demonstrate how to determine
monomial bases for the homogeneous coordinate ring of a (partial) flag variety,
depending on a chosen birational sequence and a monomial order. This survey
will be updated to reflect any advancements in OSCAR's capabilities in these
areas.
