Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On representation-finite gendo-symmetric biserial algebras   Gendo-symmetric algebras were introduced by Fang and Koenig as a
generalisation of symmetric algebras. Namely, they are endomorphism rings of
generators over a symmetric algebra. This article studies various algebraic and
homological properties of representation-finite gendo-symmetric biserial
algebras. We show that the associated symmetric algebras for these
gendo-symmetric algebras are Brauer tree algebras, and classify the generators
involved using Brauer tree combinatorics. We also study almost $\nu$-stable
derived equivalences, introduced by Hu and Xi, between representation-finite
gendo-symmetric biserial algebras. We classify these algebras up to almost
$\nu$-stable derived equivalence by showing that the representative of each
equivalence class can be chosen as a Brauer star with some additional
combinatorics. We also calculate the dominant, global, and Gorenstein
dimensions of these algebras. In particular, we found that
representation-finite gendo-symmetric biserial algebras are always
Iwanaga-Gorenstein algebras.

15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org