Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Braid relations for involution words in affine Coxeter groups   We describe an algorithm to identify a minimal set of "braid relations" which
span and preserve all sets of involution words for twisted Coxeter systems of
finite or affine type. We classify the cases in which adding the smallest
possible set of "half-braid" relations to the ordinary braid relations produces
a spanning set: in the untwisted case, this occurs for the Coxeter systems
which are finite with rank two or type $A_n$, or affine with rank three or type
$\tilde A_n$. These results generalize recent work of Hu and Zhang on the
finite classical cases.

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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an