Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Holomorphic DIffeomorphisms of Semisimple Homogeneous Spaces   The density property for a Stein manifold X implies that the group of
holomorphic diffeomorphisms of X is infinite-dimensional and, in a certain
well-defined sense, as large as possible.
  We prove that if G is a complex semisimple Lie group of adjoint type and K is
a reductive subgroup, then G/K has the density property. This theorem is a
non-trivial extension of an earlier result of ours, which handles the case of
complex semi-simple Lie groups. We also establish the density property for some
other complex homogeneous spaces by ad hoc methods. Finally, we introduce a
lifting method that extends many results on complex manifolds with the density
property to covering spaces of such manifolds.

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The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph