Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Center of the Partition Algebra   In this paper we show that the center of the partition algebra
$\mathcal{A}_{2k}(\delta)$, in the semisimple case, is given by the subalgebra
of supersymmetric polynomials in the normalised Jucys-Murphy elements. For the
non-semisimple case, such a subalgebra is shown to be central, and in
particular it is large enough to recognise the block structure of
$\mathcal{A}_{2k}(\delta)$. This allows one to give an alternative description
for when two simple $\mathcal{A}_{2k}(\delta)$-modules belong to the same
block.

9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an