Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zariski topologies on stratified spectra of quantum algebras   A framework is developed to describe the Zariski topologies on the prime and
primitive spectra of a quantum algebra $A$ in terms of the (known) topologies
on strata of these spaces and maps between the collections of closed sets of
different strata. A conjecture is formulated, under which the desired maps
would arise from homomorphisms between certain central subalgebras of localized
factor algebras of $A$. When the conjecture holds, spec $A$ and prim $A$ are
then determined, as topological spaces, by a finite collection of (classical)
affine algebraic varieties and morphisms between them. The conjecture is
verified for ${\cal O}_q(GL_2(k))$, ${\cal O}_q(SL_3(k))$, and ${\cal
O}_q(M_2(k))$ when $q$ is a non-root of unity and the base field $k$ is
algebraically closed.

9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph