Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cell structures for the Yokonuma-Hecke algebra and the algebra of braids
  and ties   We construct a faithful tensor representation for the Yokonuma-Hecke algebra
Y, and use it to give a concrete isomorphism between Y and Shoji's modified
Ariki-Koike algebra. We give a cellular basis for Y and show that the
Jucys-Murphy elements for Y are JM-elements in the abstract sense. Finally, we
construct a cellular basis for the Aicardi-Juyumaya algebra of braids and ties.

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The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th