Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hilbert series of nearly holomorphic sections on generalized flag
  manifolds   Let X=G/P be a complex flag manifold and E->X be a G-homogeneous holomorphic
vector bundle. Fix a U-invariant Kaehler metric on X with U in G maximal
compact. We study the sheaf of nearly holomorphic sections and show that the
space of global nearly holomorphic sections in E coincides with the space of
U-finite smooth sections in E. The degree of nearly holomorphic sections
defines a U-invariant filtration on this space. Using sheaf cohomology, we
determine in suitable cases the corresponding Hilbert series. It turns out to
be given in terms of Lusztig's q-analog of Kostant's weight multiplicity
formula.

11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas