Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symplectic Q-functions   Symplectic $Q$-functions are a symplectic analogue of Schur $Q$-functions and
defined as the $t=-1$ specialization of Hall--Littlewood functions associated
with the root system of type $C$. In this paper we prove that symplectic
$Q$-functions share many of the properties of Schur $Q$-functions, such as a
tableau description and a Pieri-type rule. And we present some positivity
conjectures, including the positivity conjecture of structure constants for
symplectic $P$-functions. We conclude by giving a tableau description of
factorial symplectic $Q$-functions.

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The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
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The categories of this paper are: eess
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg