Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Derived equivalences between one-branch extensions of "rectangles"   In this paper we investigate the incidence algebras arising from one-branch
extensions of "rectangles". There are four different ways to form such
extensions, and all four kinds of incidence algebras turn out to be derived
equivalent. We provide realizations for all of them by tilting complexes in a
Nakayama algebra. As an application, we obtain the explicit formulas of the
Coxeter polynomials for a half of Nakayama algebras (i.e., the Nakayama
algebras $N(n,r)$ with $2r\geq n+2$). Meanwhile, an unexpected derived
equivalence between Nakayama algebras $N(2r-1,r)$ and $N(2r-1,r+1)$ has been
found.

28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs