Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A categorification of Grassmannian cluster algebras   We describe a ring whose category of Cohen-Macaulay modules provides an
additive categorification of the cluster algebra structure on the homogeneous
coordinate ring of the Grassmannian of k-planes in n-space. More precisely,
there is a cluster character defined on the category which maps the rigid
indecomposable objects to the cluster variables and the maximal rigid objects
to clusters. This is proved by showing that the quotient of this category by a
single projective-injective object is Geiss-Leclerc-Schroer's category Sub
$Q_k$, which categorifies the coordinate ring of the big cell in this
Grassmannian.

31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg