Minuscule elements of Weyl groups, the numbers game, and \(d\)-complete posets
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Publication:1283672
DOI10.1006/jabr.1998.7648zbMath0969.05068OpenAlexW2060478591MaRDI QIDQ1283672
Publication date: 3 October 2001
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1998.7648
Weyl groupsdistributive latticesSchubert varietiesnumbers game\(d\)-complete posetsjoin irreduciblesBruhat latticesintegrable representations of simply laced Kac-Moody algebrasintervals of weak Bruhat orders
Partial orders, general (06A06) Representation theory for linear algebraic groups (20G05) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)
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Cites Work
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- A Dynkin diagram classification theorem arising from a combinatorial problem
- Enumeration of partitions with hooklengths
- Dynkin diagram classification of \(\lambda\)-minuscule Bruhat lattices and of \(d\)-complete posets
- Reflection processes on graphs and Weyl groups
- On the fully commutative elements of Coxeter groups
- Bruhat lattices, plane partition generating functions, and minuscule representations
- Reflection Sequences
