Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal ideal spaces of invariant function algebras on compact groups   The paper contains a description of the maximal ideal spaces (spectra)
$\cM_A$ of bi-invariant function algebras $A$ on a compact group $G$. There are
natural compatible structures in $\cM_A$: it is a compact topological semigroup
with involution, polar decomposition, and analytic structure. The paper
contains a description of $\cM_A$ and related results on function algebras; for
example, a bi-invariant function algebra on a connected compact Lie group is
antisymmetric if and only if the Haar measure of its maximal torus is
multiplicative on it. Some results are extended to the case of compact
commutative homogeneous spaces. As a consequence, we get an infinite
dimensional version of the Hilbert--Mumford criterion for commutative (as
homogeneous spaces) orbits of compact connected Lie groups, where one parameter
semigroup is replaced by a finite sequence of them.
  Keywords: Maximal ideal space, invariant function algebra, complex Lie
semigroup, commutative homogeneous space, Hilbert--Mumford criterion

1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas