Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Triangulated categories of matrix factorizations for regular systems of
  weights with $\epsilon=-1$   We construct a full strongly exceptional collection in the triangulated
category of graded matrix factorizations of a polynomial associated to a
non-degenerate regular system of weights whose smallest exponents are equal to
-1. In the associated Grothendieck group, the strongly exceptional collection
defines a root basis of a generalized root system of sign (l,0,2) and a Coxeter
element of finite order, whose primitive eigenvector is a regular element in
the expanded symmetric domain of type IV with respect to the Weyl group.

9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ