Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A lift of the Schur and Hall-Littlewood bases to non-commutative
  symmetric functions   We introduce a new basis of the non-commutative symmetric functions whose
commutative images are Schur functions. Dually, we build a basis of the
quasi-symmetric functions which expand positively in the fundamental
quasi-symmetric functions and decompose Schur functions. We then use the basis
to construct a non-commutative lift of the Hall-Littlewood symmetric functions
with similar properties to their commutative counterparts.

24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg