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# A Combinatorial Construction for Simply–laced Lie Algebras

@inproceedings{Wildberger2004ACC, title={A Combinatorial Construction for Simply–laced Lie Algebras}, author={N. J. Wildberger}, year={2004} }

- Published 2004

This paper shows how to uniformly associate Lie algebras to the simply-laced Dynkin diagrams excluding E8 by constructing explicit combinatorial models of minuscule representations using only graph-theoretic ideas. This involves defining raising and lowering operators in a space of ideals of certain distributive lattices associated to sequences of vertices of the Dynkin diagram.

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