Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Incidence Homology of Finite Projective Spaces   Let F* be the finite field of q elements and let P(n,q) be the projective
space of dimension n-1 over F*. We construct a family H^{n}_{k,i} of
combinatorial homology modules associated to P(n,q) over a coefficient field F
field of characteristic p_{0}>0 co-prime to q. As FGL(n,q)-representations the
modules are obtained from the permutation action of GL(n,q) on the subspaces of
F*^n. We prove a branching rule for H^{n}_{k,i} and use this rule to determine
these homology representations completely. The main results are a duality
theorem and the complete characterisation of H^{n}_{k,i} in terms of the
standard irreducibles of GL(n,q) over F and applications.

33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess