Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariant bilinear forms on $W$-graph representations and linear algebra
  over integral domains   Lie-theoretic structures of type $E_8$ (e.g., Lie groups and algebras, Hecke
algebras and Kazhdan-Lusztig cells, ...) are considered to serve as a `gold
standard' when it comes to judging the effectiveness of a general algorithm for
solving a computational problem in this area. Here, we address a problem that
occurred in our previous work on decomposition numbers of Iwahori-Hecke
algebras, namely, the computation of invariant bilinear forms on so-called
$W$-graph representations. We present a new algorithmic solution which makes it
possible to produce and effectively use the main results in further
applications.

36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph