Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Hopf algebraic approach to the theory of group branchings   We describe a Hopf algebraic approach to the Grothendieck ring of
representations of subgroups $H_\pi$ of the general linear group GL(n) which
stabilize a tensor of Young symmetry $\{\pi\}$. It turns out that the
representation ring of the subgroup can be described as a Hopf algebra twist,
with a 2-cocycle derived from the Cauchy kernel 2-cocycle using plethysms. Due
to Schur-Weyl duality we also need to employ the coproduct of the inner
multiplication. A detailed analysis including combinatorial proofs for our
results can be found in math-ph/0505037. In this paper we focus on the Hopf
algebraic treatment, and a more formal approach to representation rings and
symmetric functions.

33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn