# 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:
 Noun 1 root system - a developed system of roots    rootagesystem, 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 ?
q] when [theta] = 2 and the generalized Dynkin diagram of q is connected.
They are also well-understood in the context of cluster algebras, where they are just one among several Cambrian lattices of type A, depending on the choice of an orientation of the Dynkin diagram, see Reading (2006); Reading and Speyer (2009).
It is the Dynkin diagram of the given group equipped with certain action of the absolute Galois group.
Let [delta] be an ADE Dynkin diagram with vertex set I.
Let X be a Dynkin diagram of finite type, and A = ([a.
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].
The Dynkin diagram r associated to (W, S) is the graph with vertex set S and, for each pair s, t with [m.
There is a natural dihedral symmetry of the Dynkin diagram of affine type A.
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.
r]) in that paper), where r is a node in the classical Dynkin diagram and s is a positive integer.
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).
infinity]] denote the Dynkin diagram depicted below:

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