A combinatorial construction for simply-laced Lie algebras
type: Item
instance of: scholarly article
title: A combinatorial construction for simply-laced Lie algebras
zbMATH Open document ID: 1023.17015
DOI: 10.1016/S0196-8858(02)00541-9
published in: Advances in Applied Mathematics
publication date: 2003-07-29T00:00:00Z
review text: A graph-theoretic construction of the simply-laced Lie algebras (excluding \(E_8\)) is given. Minuscule representations and raising and lowering operators are involved.
reviewed by: L. N. Vaserstein
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 17B20
zbMATH DE Number: 1956076
zbMATH Keywords: simple Lie algebras
zbMATH Keywords: graph-theoretic construction
zbMATH Keywords: minuscule representations
author: Norman John Wildberger
MaRDI profile type: Publication
cites work: Integrable boundaries, conformal boundary conditions and A-D-E fusion rules
cites work: Kronecker products, minuscule representations, and polynomial identities
cites work: Infinite root systems, representations of graphs and invariant theory
cites work: Infinite root systems, representations of graphs and invariant theory. II
cites work: Canonical bases for the miniscule modules of the quantized enveloping algebras of types b and d
cites work: Root systems of hyperbolic type
cites work: Q3942064
cites work: Q4361032
cites work: Bruhat lattices, plane partition generating functions, and minuscule representations
cites work: Minuscule elements of Weyl groups, the numbers game, and \(d\)-complete posets
cites work: Dynkin diagram classification of \(\lambda\)-minuscule Bruhat lattices and of \(d\)-complete posets
cites work: Q3892350
cites work: On minuscule representations, plane partitions and involutions in complex Lie groups
cites work: Q3236268
cites work: Q3754627
full work available at URL: s0196-8858(02)00541-9
OpenAlex ID: W2087363076
description: scientific article; zbMATH DE number 1956076