Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Diagonal Algebra and Pseudo-Plactic Algebra   The subalgebra of diagonal elements of a quantum matrix group has been
conjectured by Daniel Krob and Jean-Yves Thibon to be isomorphic to a cubic
algebra, coined the quantum pseudo-plactic algebra. We present a functorial
approach to the conjecture through the quantum Schur-Weyl duality between the
quantum group and the Hecke algebra. The relations of the quantum diagonal
subalgebra are found to be the image of the braid relations of the underlying
Hecke algebra by an appropriate Schur functor which gives a straightforward
proof of the conjecture.

1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an