Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a common generalization of Koszul duality and tilting equivalence   We propose a new definition of Koszulity for graded algebras where the degree
zero part has finite global dimension, but is not necessarily semi-simple. The
standard Koszul duality theorems hold in this setting. We give an application
to algebras arising from multiplicity free blocks of the BGG category $\mathcal
O$.

3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph