Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted generalized triangulation algebras   The weighted triangulation algebras associated to triangulation quivers and
their socle deformations were recently introduced and studied in [15]-[20] and
[2]. These algebras, based on surface triangulations and originated from the
theory of cluster algebras, were also proved to be (with some minor exceptions)
finite-dimensional tame symmetric and periodic algebras of period 4. In this
paper, we introduce a new concept of a generalized triangulation quiver,
extending the notion of a triangulation quiver. Inparticular, it is also shown
that the generalized triangulation quivers can be constructed from
triangulations of orientable surfaces with marked self-foldedtriangles.
Moreover, motivated by the recent results of [28], we define and investigate so
called weighted generalized triangulation algebras associated to generalized
triangulation quivers, which naturally arise from mutations of weighted
triangulation algebras.

29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph