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arXiv · 0807.0640

Splints of classical root systems

David A. Richter
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Abstract

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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David A. Richter. 2008-07-07. Splints of classical root systems. https://arxiv.org/abs/0807.0640

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