Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum walled Brauer-Clifford superalgebras   We introduce a new family of superalgebras, the quantum walled
Brauer-Clifford superalgebras ${\mathsf {BC}}_{r,s}(q)$. The superalgebra
${\mathsf {BC}}_{r,s}(q)$ is a quantum deformation of the walled
Brauer-Clifford superalgebra ${\mathsf {BC}}_{r,s}$ and a super version of the
quantum walled Brauer algebra. We prove that ${\mathsf {BC}}_{r,s}(q)$ is the
centralizer superalgebra of the action of ${\mathfrak U}_{q}({\mathfrak q}(n))$
on the mixed tensor space $\mathbf{V}_{q}^{r,s}=\mathbf{V}_{q}^{\otimes r}
\otimes (\mathbf{V}_q^*)^{\otimes s}$ when $n \ge r+s$, where ${\mathbf
V}_{q}=\mathbb{C}(q)^{(n|n)}$ is the natural representation of the quantum
enveloping superalgebra ${\mathfrak U}_{q}({\mathfrak q}(n))$ and
$\mathbf{V}_q^*$ is its dual space. We also provide a diagrammatic realization
of ${\mathsf {BC}}_{r,s}(q)$ as the $(r,s)$-bead tangle algebra ${\mathsf
{BT}}_{r,s}(q)$. Finally, we define the notion of $q$-Schur superalgebras of
type $\mathsf{Q}$ and establish their basic properties.

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The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph