Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simple weight modules over weak Generalized Weyl algebras   In this paper we address the problem of classification of simple weight
modules over weak generalized Weyl algebras of rank one. The principal
difference between weak generalized Weyl algebras and generalized weight
algebras is that weak generalized Weyl algebras are defined using an
endomorphism rather than an automorphism of a commutative ring $R$. We reduce
classification of simple weight modules over weak generalized Weyl algebras to
description of the dynamics of the action of the above mentioned endomorphism
on the set of maximal ideals. We also describe applications of our results to
the study of generalized Heisenberg algebras.

37
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
27
The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph