%0 Journal Article
%T Splints of classical root systems
%A David A. Richter
%J Mathematics
%D 2008
%I arXiv
%X This article introduces a new term "splint" and classifies the splints of the classical root systems. The motivation comes from representation theory of semisimple Lie algebras. In a few instances, splints play a role in determining branching rules of a module over a complex semisimple Lie algebra when restricted to a subalgebra. In these particular cases, the set of submodules with respect to the subalgebra themselves may be regarded as the character of another Lie algebra.
%U http://arxiv.org/abs/0807.0640v1