Abstract:
The main objective of this Thesis is the construction of the fundamental modules of
the classical Lie algebras. Weyl’s Theorem shows that if L is a semisimple Lie algebra,
then any finite dimensional L−module is a direct sum of irreducible L−modules.
Since the classical algebras are semisimple, we just need the irreducible modules in
order to obtain the others. On the other hand, the fundamental modules give us
every irreducible L− module and, therefore, every finite dimensional L−module.
Description:
A Thesis Submitted to the Faculty of Graduate Studies and Research In Partial Fulfillment of the Requirements for the Degree of Master of Science in Mathematics, University of Regina. vi, 78 p.
