Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Green polynomials via vertex operators   An iterative formula for the Green polynomial is given using the vertex
operator realization of the Hall-Littlewood function. Based on this, (1) a
general combinatorial formula of the Green polynomial is given; (2) several
compact formulas are given for Green's polynomials associated with upper
partitions of length $\leq 3$ and the diagonal lengths $\leq 3$; (3) a
Murnaghan-Nakayama type formula for the Green polynomial is obtained; and (4)
an iterative formula is derived for the bitrace of the finite general linear
group $G$ and the Iwahori-Hecke algebra of type $A$ on the permutation module
of $G$ by its Borel subgroup.

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The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: eess
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex