Graphs and Representations of simply-laced

N.J. Wildberger

To appear at Formal Power Series and Algebraic Combinatorics (FPSAC01), Tempe, Arizona (USA), May 20-26, 2001


This paper shows how to uniformly associate Lie algebras to the s imply-laced Dynkin diagrams excluding E8 by constructing explicit combinatorial models of miniscule representations using only graph-theoretic ideas.

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