Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the center of a compact group   We prove a conjecture due to Baumgaertel and Lledo according to which for
every compact group G one has Z(G)^ \cong C(G), where the `chain group' C(G) is
the free abelian group (written multiplicatively) generated by the set G^ of
isomorphism classes of irreducible representations of G modulo the relations
[Z]=[X]\cdot[Y] whenever Z is contained in X \otimes Y. Thus the center Z(G)
depends only on the representation ring of G. Furthermore, we prove that every
`t-map' phi: G^ -> A into an abelian group, i.e. every map satisfying
phi(Z)=phi(X)phi(Y) whenever X,Y,Z in G^ and Z\prec X\otimes Y, factors through
the restriction map G^ -> Z(G)^. All these results also hold for proalgebraic
groups over algebraically closed fields of characteristic zero.

24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph