Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Trivial Extensions and Higher Preprojective Algebras   In this paper, we show that for a Koszul $n$-homogeneous algebra $\Lambda$,
the quadratic dual of certain twisted trivial extension is the
$(n+1)$-preprojective algebra of its quadratic dual, that is, $
(\Delta_{\nu}\Lambda)^{!,op} \simeq\Pi( \Lambda^{ !, op })$. This is applied to
the $\tau$-slice algebras of stable $n$-translation algebras and gives a
noncommutative version of Bernstein-Gelfand-Gelfand correspondence for such
algebras.

12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas