Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kaehler structures on T*G having as underlying symplectic form the
  standard one   For a connected Lie group G, we show that a complex structure on the total
space TG of the tangent bundle of G that is left invariant and has the property
that each left translation G-orbit is a totally real submanifold is induced
from a smooth immersion of TG into the complexification of G. For G compact and
connected, we then characterize left invariant and biinvariant complex
structures on the total space T*G of the cotangent bundle of G which combine
with the tautological symplectic structure to a Kaehler structure.

28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th