Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotical behaviour of roots of infinite Coxeter groups   Let W be an infinite Coxeter group. We initiate the study of the set E of
limit points of "normalized" positive roots (representing the directions of the
roots) of W. We show that E is contained in the isotropic cone of the bilinear
form B associated to a geometric representation, and illustrate this property
with numerous examples and pictures in rank 3 and 4. We also define a natural
geometric action of W on E, and then we exhibit a countable subset of E, formed
by limit points for the dihedral reflection subgroups of W. We explain that
this subset is built from the intersection with Q of the lines passing through
two positive roots, and finally we establish that it is dense in E.

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The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio