Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-term tilting complexes for preprojective algebras of non-Dynkin type   In this paper, we study two-term tilting complexes for preprojective algebras
of non-Dynkin type. We show that there exist two families of two-term tilting
complexes, which are respectively parameterized by the elements of the
corresponding Coxeter group. Moreover, we provide the complete classification
in the case of affine type by showing that any two-term silting complex belongs
one of them. For this purpose, we also discuss the Krull-Schmidt property for
the homotopy category of finitely generated projective modules over a complete
ring.

13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio