Minuscule posets from neighbourly graph sequences

DOI10.1016/S0195-6698(03)00056-8zbMath1028.06003MaRDI QIDQ1405002

Norman J. Wildberger

Publication date: 25 August 2003

Published in: European Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

minuscule posetsneighbourly propertiessequences of vertices of a graph

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07)

Related Items (8)

On dominance and minuscule Weyl group elements. ⋮ On orbits of order ideals of minuscule posets ⋮ Looping of the numbers game and the alcoved hypercube ⋮ NORMALITY AND QUADRATICITY FOR SPECIAL AMPLE LINE BUNDLES ON TORIC VARIETIES ARISING FROM ROOT SYSTEMS ⋮ Eriksson's numbers game and finite Coxeter groups ⋮ Minuscule reverse plane partitions via quiver representations ⋮ Gelfand–Tsetlin Bases for Classical Lie Algebras ⋮ Can one see the signs of structure constants?

Cites Work

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• A Dynkin diagram classification theorem arising from a combinatorial problem
• Dynkin diagram classification of \(\lambda\)-minuscule Bruhat lattices and of \(d\)-complete posets
• On minuscule representations, plane partitions and involutions in complex Lie groups
• A combinatorial construction for simply-laced Lie algebras
• Extremal properties of bases for representations of semisimple Lie algebras
• On the fully commutative elements of Coxeter groups
• Bruhat lattices, plane partition generating functions, and minuscule representations
• The restriction of minuscule representations to parabolic subgroups
• Minuscule elements of Weyl groups

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