Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\Lambda$-buildings associated to quasi-split groups over
  $\Lambda$-valued fields   Let $\mathbf{G}$ be a quasi-split reductive group and $\mathbb{K}$ be a
Henselian field equipped with a valuation
$\omega:\mathbb{K}^{\times}\rightarrow \Lambda$, where $\Lambda$ is a non-zero
totally ordered abelian group. In 1972, Bruhat and Tits constructed a building
on which the group $\mathbf{G}(\mathbb{K})$ acts provided that $\Lambda$ is a
subgroup of $\mathbb{R}$. In this paper, we deal with the general case where
there are no assumptions on $\Lambda$ and we construct a set on which
$\mathbf{G}(\mathbb{K})$ acts. We then prove that it is a $\Lambda$-building,
in the sense of Bennett.

13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th