Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Groebner-Shirshov basis for the braid group in the Birman-Ko-Lee-Garside
  generators   In this paper, we obtain Groebner-Shirshov (non-commutative Gr\"obner) bases
for the braid groups in the Birman-Ko-Lee generators enriched by new ``Garside
word" $\delta$. It gives a new algorithm for getting the Birman-Ko-Lee Normal
Form in the braid groups, and thus a new algorithm for solving the word problem
in these groups.

23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics