A combinatorial construction for simply-laced Lie algebras

N. J. Wildberger

Type: Article

Publication Date: 2003-02-01

Citations: 35

DOI: https://doi.org/10.1016/s0196-8858(02)00541-9

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Locations

Advances in Applied Mathematics - View
CiteSeer X (The Pennsylvania State University) - View - PDF

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+ PDF Chat	On dominance and minuscule Weyl group elements	2010	Qëndrim R. Gashi Travis Schedler
+	The Mutation Game, Coxeter–Dynkin Graphs, and Generalized Root Systems	2020	N. J. Wildberger
+ PDF Chat	Gelfand–Tsetlin Bases for Classical Lie Algebras	2006	Alexander Molev
+	Convergent and divergent numbers games for certain collections of edge-weighted graphs	2008	Robert G. Donnelly
+	Eriksson's numbers game on certain edge-weighted three-node cyclic graphs	2007	Robert G. Donnelly
+	The numbers game, geometric representations of Coxeter groups, and Dynkin diagram classification results	2006	Robert G. Donnelly
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Works Cited by This (13)

Action	Title	Year	Authors
+	Geometry of Coxeter groups	1982	Howard Hiller
+	On minuscule representations, plane partitions and involutions in complex Lie groups	1994	John R. Stembridge
+	Root systems of hyperbolic type	1979	Robert V. Moody
+	Infinite root systems, representations of graphs and invariant theory, II	1982	Victor G. Kač
+	Kronecker products, minuscule representations, and polynomial identities	1990	Mircea Iosifescu Horia Scutaru
+	Bruhat Lattices, Plane Partition Generating Functions, and Minuscule Representations	1984	Robert A. Proctor
+	Minuscule Elements of Weyl Groups, the Numbers Game, andd-Complete Posets	1999	Robert A. Proctor
+ PDF Chat	Integrable boundaries, conformal boundary conditions and A-D-E fusion rules	1998	Roger E. Behrend Paul A. Pearce Jean-Bernard Zuber
+	Infinite root systems, representations of graphs and invariant theory	1980	Victor G. Kač
+	Root Lattices and Weight Lattices of Exceptional Simple Lie Algebras of Type E	1997	Hiroyuki Ochiai