Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Matrix Algebras of BMW type: Structure of the Characteristic
  Subalgebra   A notion of quantum matrix (QM-) algebra generalizes and unifies two famous
families of algebras from the theory of quantum groups: the RTT-algebras and
the reflection equation (RE-) algebras. These algebras being generated by the
components of a `quantum' matrix $M$ possess certain properties which resemble
structure theorems of the ordinary matrix theory. It turns out that such
structure results are naturally derived in a more general framework of the
QM-algebras. In this work we consider a family of Birman-Murakami-Wenzl (BMW)
type QM-algebras. These algebras are defined with the use of R-matrix
representations of the BMW algebras. Particular series of such algebras include
orthogonal and symplectic types RTT- and RE- algebras, as well as their
super-partners.
  For a family of BMW type QM-algebras, we investigate the structure of their
`characteristic subalgebras' --- the subalgebras where the coefficients of
characteristic polynomials take values. We define three sets of generating
elements of the characteristic subalgebra and derive recursive Newton and
Wronski relations between them. We also define an associative $\star$-product
for the matrix $M$ of generators of the QM-algebra which is a proper
generalization of the classical matrix multiplication. We determine the set of
all matrix `descendants' of the quantum matrix $M$, and prove the
$\star$-commutativity of this set in the BMW type.

16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th