A combinatorial construction for simply-laced Lie algebras

Behrend, 1998, Integrable boundaries, conformal boundary conditions and A–D–E fusion rules, J. Phys. A, 31, L763, 10.1088/0305-4470/31/50/001

Iosifescu, 1990, Kronecker products, minuscule representations, and polynomial identities, J. Math. Phys., 31, 264, 10.1063/1.528910

Kac, 1980, Infinite root systems, representations of graphs and invariant theory, Invent. Math., 56, 57, 10.1007/BF01403155

Kac, 1982, Infinite root systems, representations of graphs and invariant theory II, J. Algebra, 77, 141, 10.1016/0021-8693(82)90105-3

Marsh, 1997, Canonical bases for the minuscule modules of the quantized enveloping algebras of types B and D, Comm. Algebra, 25, 1387, 10.1080/00927879708825926

Moody, 1979, Root systems of Hyperbolic Type, Adv. Math., 33, 144, 10.1016/S0001-8708(79)80003-1

Hiller, 1982, Geometry of Coxeter Groups, 54

Hiroyuki, 1997, Root lattices and weight lattices of exceptional simple Lie algebras of type E, Comment. Math. Univ. St. Paul., 46, 23

Proctor, 1984, Bruhat lattices, plane partition generating functions, and minuscule representations, European J. Combin., 5, 331, 10.1016/S0195-6698(84)80037-2

Proctor, 1999, Minuscule elements of Weyl groups, the numbers game, and d-complete posets, J. Algebra, 213, 272, 10.1006/jabr.1998.7648

Proctor, 1999, Dynkin diagram classification of λ-minuscule Bruhat lattices and of d-complete posets, J. Algebraic Combin., 9, 61, 10.1023/A:1018615115006

Seshadri, 1978, Geometry of G/P. I. Theory of standard monomials for minuscule representations, 8, 207

Stembridge, 1994, On minuscule representations, plane partitions and involutions in complex Lie groups, Duke Math. J., 469, 10.1215/S0012-7094-94-07320-1

Tits, 1956, Les groupes de Lie exceptionnels et leur interpretation géométrique, Bull. Soc. Math. Belg., 8, 48

Viennot, 1985, Heaps of pieces I: Basic definitions and combinatorial lemmas, 1234, 321

N.J. Wildberger, The mutation game, Coxeter graphs and partially ordered multisets, Preprint, 2001