Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The moment map for a multiplicity free action   Let $K$ be a compact connected Lie group acting unitarily on a
finite-dimensional complex vector space $V$. One calls this a {\em
multiplicity-free} action whenever the $K$-isotypic components of $\C[V]$ are
$K$-irreducible. We have shown that this is the case if and only if the moment
map $\tau:V\rightarrow\k^*$ for the action is finite-to-one on $K$-orbits. This
is equivalent to a result concerning \gp s associated with Heisenberg groups
that is motivated by the Orbit Method. Further details of this work will be
published elsewhere.

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The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex