Colored hook formula for a generalized Young diagram

zbMath1204.05099MaRDI QIDQ1001973

Kento Nakada

Publication date: 20 February 2009

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1227708835

zbMATH Keywords

hook formulaminuscule elementYoung diagramKac-Moody algebracoloured hook formulageneralized Young diagrampre-dominant integral weight

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (9)

Newton-Okounkov bodies for categories of modules over quiver Hecke algebras ⋮ The universal factorial Hall–Littlewood $P$- and $Q$-functions ⋮ Order structure of shapes of predominant integral weights and cylindric Young diagrams ⋮ Poset structure concerning cylindric diagrams ⋮ Homogeneous representations of Khovanov-Lauda algebras. ⋮ \(d\)-complete posets: local structural axioms, properties, and equivalent definitions ⋮ Equivariant multiplicities via representations of quantum affine algebras ⋮ Equivariant multiplicities of simply-laced type flag minors ⋮ Skew hook formula for \(d\)-complete posets via equivariant \(K\)-theory

Cites Work

• 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
• Minuscule elements of Weyl groups
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