root system

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root system

n.
1. All of the roots of a plant.
2. The arrangement of the roots of a plant: a branched root system.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.root system - a developed system of rootsroot system - a developed system of roots    
system, scheme - a group of independent but interrelated elements comprising a unified whole; "a vast system of production and distribution and consumption keep the country going"
root - (botany) the usually underground organ that lacks buds or leaves or nodes; absorbs water and mineral salts; usually it anchors the plant to the ground
References in periodicals archive ?
due to the 2-fold symmetry of the Dynkin diagram of [E.
Let [delta] be an ADE Dynkin diagram with vertex set I.
Let X be a Dynkin diagram of finite type, and A = ([a.
As for the exceptional Lie types, since their Dynkin diagram has a fixed number of vertices, in theory the structure should be computable by a computer algebra system.
3 A subset of simple roots K [subset or equal to] [DELTA] is called connected if the induced Dynkin diagram of K is a connected subgraph of the Dynkin diagram of [DELTA].
Proctor, Dynkin diagram classification of A-minuscule Bruhat lattices and of d-complete posets, J.
i] denote the weight lattice, Weyl group and fundamental weights corresponding to the finite type Dynkin diagram I\{0}.
i] for i [member of] I the simple roots and fundamental weights and by c the canoncial central element associated to g, where I is the index set of the Dynkin diagram of g (see Table 2).
If the rank of g is sufficiently large, X does not depend on g itself, but only on the attachment of the affine Dynkin node 0 to the rest of the Dynkin diagram.
There is a natural dihedral symmetry of the Dynkin diagram of affine type A.
3 since the Dynkin diagram is not linear, but one can nonetheless define walks from the "alternating" words described in Proposition 15: given w [member of] [[?
In between he offers chapters on matrix groups, Lie algebras, matrix algebras, operator algebras, EXPonentiation, structure theory for Lie algebras, root spaces and Dynkin diagrams, real forms, Riemannian symmetric spaces, contraction, hydrogenic atoms, and Maxwell's equations.