Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constructing equivariant vector bundles via the BGG correspondence   We describe a strategy for the construction of finitely generated
$G$-equivariant $\mathbb{Z}$-graded modules $M$ over the exterior algebra for a
finite group $G$. By an equivariant version of the BGG correspondence, $M$
defines an object $\mathcal{F}$ in the bounded derived category of
$G$-equivariant coherent sheaves on projective space. We develop a necessary
condition for $\mathcal{F}$ being isomorphic to a vector bundle that can be
simply read off from the Hilbert series of $M$. Combining this necessary
condition with the computation of finite excerpts of the cohomology table of
$\mathcal{F}$ makes it possible to enlist a class of equivariant vector bundles
on $\mathbb{P}^4$ that we call strongly determined in the case where $G$ is the
alternating group on $5$ points.

19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs