Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decomposable Specht modules for the Iwahori-Hecke algebra
  $\mathscr{H}_{\mathbb{F},-1}(\mathfrak{S}_n)$   Let $S_\lambda$ denote the Specht module defined by Dipper and James for the
Iwahori-Hecke algebra $\mathscr{H}_n$ of the symmetric group $\mathfrak{S}_n$.
When $e=2$ we determine the decomposability of all Specht modules corresponding
to hook partitions $(a,1^b)$. We do so by utilising the Brundan-Kleshchev
isomorphism between $\mathscr{H}$ and a Khovanov-Lauda-Rouquier algebra and
working with the relevant KLR algebra, using the set-up of
Kleshchev-Mathas-Ram. When $n$ is even, we easily arrive at the conclusion that
$S_\lambda$ is indecomposable. When $n$ is odd, we find an endomorphism of
$S_\lambda$ and use it to obtain a generalised eigenspace decomposition of
$S_\lambda$.

11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg