A Dynkin diagram classification theorem arising from a combinatorial problem
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Publication:1100220
DOI10.1016/0001-8708(86)90095-2zbMath0639.06006OpenAlexW2054476555MaRDI QIDQ1100220
Publication date: 1986
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0001-8708(86)90095-2
Dynkin diagramsorder idealsranked posetsrank symmetricrank unimodalstrongly Sperner posetsvertex-labelable poset
Partial orders, general (06A06) Representation theory of lattices (06B15) Structure and representation theory of distributive lattices (06D05)
Related Items (8)
Representations of $\mathfrak{sl}( 2,\mathbb{C} )$ on Posets and the Sperner Property ⋮ Minuscule posets from neighbourly graph sequences ⋮ Bruhat lattices, plane partition generating functions, and minuscule representations ⋮ Can one see the signs of structure constants? ⋮ Visual Basic Representations ⋮ Dynkin diagram classification of \(\lambda\)-minuscule Bruhat lattices and of \(d\)-complete posets ⋮ Minuscule elements of Weyl groups, the numbers game, and \(d\)-complete posets ⋮ A third look at weight diagrams
Cites Work
- Quotients of Peck posets
- Product partial orders with the Sperner property
- On chains and Sperner k-families in ranked posets. II
- Bruhat lattices, plane partition generating functions, and minuscule representations
- Morphisms for the strong Sperner property of Stanley and Griggs
- A sperner property preserved by product
- Representations of $\mathfrak{sl}( 2,\mathbb{C} )$ on Posets and the Sperner Property
- Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
- Solution of Two Difficult Combinatorial Problems with Linear Algebra
- Introduction to Lie Algebras and Representation Theory
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