Splints of classical root systems

Details Splints of classical root systems Splints of classical root systems

2008-07-07

arxiv.org/abs/0807.0640v1

Mathematics

Representation Theory

16 pages

Scientific paper

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.

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