scientific article; zbMATH DE number 5191830

zbMath1134.17010arXivmath/0605768MaRDI QIDQ5307735

Richard M. Green

Publication date: 18 September 2007

Full work available at URL: https://arxiv.org/abs/math/0605768

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zbMATH Keywords

crystal basisaffine Kac-Moody algebracombinatorial representation theoryraising and lowering operatorsChevalley generatorsfull heap

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Combinatorics of partially ordered sets (06A07) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (5)

Affine structures and a tableau model for \(E_{6}\) crystals ⋮ Unified characterizations of minuscule Kac-Moody representations built from colored posets ⋮ Classifications of $\Gamma$-colored minuscule posets and $P$-minuscule Kac--Moody representations ⋮ On the cyclically fully commutative elements of Coxeter groups. ⋮ Classifications of \(\Gamma\)-colored \(d\)-complete posets and upper \(P\)-minuscule Borel representations

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