Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dimension $n$ Representations of the Braid Group on $n$ Strings   In 1996 E. Formanek classified all the irreducible complex representations of
$B_n$ of dimension at most $n-1,$ where $B_n$ is the Artin braid group on $n$
strings. In this paper we extend this classification to the representations of
dimension $n,$ for $n\geq 9$. We prove that all such representations are
equivalent to a tensor product of a one-dimensional representation and a
specialization of a certain one-parameter family of $n-$dimensional
representations, that was first discovered in 1996 by Tong, Yang, and Ma. We
use our classification of irreducible complex representations of corank two, in
the preprint math.GR/0003047.

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The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
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The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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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: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio