Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Restricting invariants of unitary reflection groups   Suppose that G is a finite, unitary reflection group acting on a complex
vector space V and X is the fixed point subspace of an element of G. Define N
to be the setwise stabilizer of X in G, Z to be the pointwise stabilizer, and
C=N/Z. Then restriction defines a homomorphism from the algebra of G-invariant
polynomial functions on V to the algebra of C-invariant functions on X.
Extending earlier work by Douglass and Roehrle for Coxeter groups, we
characterize when the restriction mapping is surjective for arbitrary unitary
reflection groups G in terms of the exponents of G and C, and their reflection
arrangements. A consequence of our main result is that the variety of G-orbits
in the G-saturation of X is smooth if and only if it is normal.

12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess