Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Length Function for Weyl Groups of extended affine root systems of
  Type $A_1$   In this work, we study the concept of the length function and some of its
combinatorial properties for the class of extended affine root systems of type
$A_1$. We introduce a notion of root basis for these root systems, and using a
unique expression of the elements of the Weyl group with respect to a set of
generators for the Weyl group, we calculate the length function with respect to
a very specific root basis.

23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph