Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A unitary "quantization commutes with reduction" map for the adjoint
  action of a compact Lie group   Let $K$ be a simply connected compact Lie group and $T^{\ast}(K)$ its
cotangent bundle. We consider the problem of "quantization commutes with
reduction" for the adjoint action of $K$ on $T^{\ast}(K).$ We quantize both
$T^{\ast}(K)$ and the reduced phase space using geometric quantization with
half-forms. We then construct a geometrically natural map from the space of
invariant elements in the quantization of $T^{\ast}(K)$ to the quantization of
the reduced phase space. We show that this map is a constant multiple of a
unitary map.

30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con