Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A combinatorial description of the centralizer algebras connected to the
  Links-Gould Invariant   In this paper we study the tensor powers of the standard representation of
the quantum super-algebra $U_q(sl(2|1)$, focusing on the rings of its algebra
endomorphisms, called centraliser algebras and denoted by $LG_n$. Their
dimensions were conjectured by I. Marin and E. Wagner \cite{MW}. We prove this
conjecture, describing the intertwiner spaces from a semi-simple decomposition
as sets consisting of certain paths in a planar lattice with integer
coordinates. Using this model, we present a matrix unit basis for the
centraliser algebra $LG_n$, by means of closed curves in the plane, which are
included in the lattice with integer coordinates.

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The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th