Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A class of irreducible modules for loop-Virasoro algebras   Tensor product of highest weight modules and intermediate modules for
Virasoro algebra have been studied around 1997. Since then the irreducibility
problem for tensor product of modules is open. We consider the loop-Virasoro
algebra $Vir \otimes B$, where $Vir$ is the Virasoro algebra and $B$ a
commutative associative unital algebra over $\mathbb C$. In this paper we study
the irreducibility problem for the tensor product of highest weight modules and
intermediate modules for $Vir\otimes B$. Finally we find out a necessary and
sufficient conditions for such modules to be isomorphic.

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The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
19
The categories of this paper are: eess
1
The categories of this paper are: cs
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex