Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sign representation of single-peaked preferences and Bruhat orders   Single-peaked preferences and domains are extensively researched in social
science and economics. In this study, we examine the interval property as well
as combinatorial structure of single-peaked preferences on a fixed Left-Right
social axis. We introduce a sign representation of single-peaked preferences;
consequently, some cardinalities of single-peaked domains are easily obtained.
Basic operations on the sign representation, which completely define the Bruhat
poset, are also provided. The applications to known results and an isomorphic
relation with associated rhombus tiling are given. Finally, we some discussions
of related topics.

37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th