Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Skein theory and the Murphy operators   The Murphy operators in the Hecke algebra H_n of type A are explicit
commuting elements whose sum generates the centre. They can be represented by
simple tangles in the Homfly skein theory version of H_n.
  In this paper I present a single tangle which represents their sum, and which
is obviously central. As a consequence it is possible to identify a natural
basis for the Homfly skein of the annulus, C.
  Symmetric functions of the Murphy operators are also central in H_n. I define
geometrically a homomorphism from C to the centre of each algebra H_n, and find
an element in C, independent of n, whose image is the m-th power sum of the
Murphy operators. Generating function techniques are used to describe images of
other elements of C in terms of the Murphy operators, and to demonstrate
relations among other natural skein elements.

15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg