Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Elementary divisors of Specht modules   Let H_q(S_n) be the Iwahori-Hecke algebra of the symmetric group. This
algebra is semisimple over the rational function field Q(q), where q is an
indeterminate, and its irreducible representations over this field are
q-analogues S_q(lambda) of the Specht modules of the symmetric group.
  The q-Specht modules have an "integral form" which is defined over the
Laurent polynomial ring Z_[q,q^{-1}] and they come equipped with a natural
bilinear form with values in this ring. Now Z[q,q^{-1}] is not a principal
ideal domain. Nonetheless, we try to compute the elementary divisors of the
Gram matrix of the bilinear form on S_q(lambda). When they are defined, we give
a precise relationship between the elementary divisors of the Specht modules
S_q(lambda) and S_q(lambda'), where lambda' is the conjugate partition. We also
compute the elementary divisors when lambda is a hook partition and give
examples to show that in general elementary divisors do not exist.

18
The categories of this paper are: econ
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin