Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On some root multiplicities for Nichols algebras of diagonal type over
  arbitrary fields   In this paper, our main aim is to determine the multiplicities of a class of
roots for Nichols algebra of diagonal type over fields of arbitrary
characteristic, which is a generalization of the results on the multiplicities
of these roots over fields of characteristic zero obtained by I. Heckenberber
and the author.

20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph