Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lattice Path Enumeration and Its Applications in Representation Theory   In this paper, we enumerate lattice paths with certain constraints and apply
the corresponding results to develop formulas for calculating the dimensions of
submodules of a class of modules for planar upper triangular rook monoids. In
particular, we show that the famous Catalan numbers appear as the dimensions of
some special modules; we also obtain some combinatorial identities

28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio