Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized flag geometries associated with (2k + 1)-graded Lie algebras   In this paper, we present the construction of a geometric object, called a
generalized flag geometry, $(X^+;X^-)$, corresponding to a (2k +1)-graded Lie
algebra $g=g_k\oplus\dots\oplus g_{-k}$. We prove that $(X^+;X^-) can be
realized inside the space of inner filtrations of g and we use this realization
to construct "algebraic bundles" on $X^+$ and $X^-$ and some sections of these
bundles. Thanks to these constructions, we can give a realization of $g$ as a
Lie algebra of polynomial maps on the positive part of $g$,
$n^+_1:=g_1\oplus\dots\oplus g_k$, and a trivialization in $n^+_1$ of the
action of the group of automorphisms of $g$ by "birational"maps.

34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an