Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local Weyl modules for equivariant map algebras with free abelian group
  actions   Suppose a finite group acts on a scheme X and a finite-dimensional Lie
algebra g. The associated equivariant map algebra is the Lie algebra of
equivariant regular maps from X to g. Examples include generalized current
algebras and (twisted) multiloop algebras. Local Weyl modules play an important
role in the theory of finite-dimensional representations of loop algebras and
quantum affine algebras. In the current paper, we extend the definition of
local Weyl modules (previously defined only for generalized current algebras
and twisted loop algebras) to the setting of equivariant map algebras where g
is semisimple, X is affine of finite type, and the group is abelian and acts
freely on X. We do so by defining twisting and untwisting functors, which are
isomorphisms between certain categories of representations of equivariant map
algebras and their untwisted analogues. We also show that other properties of
local Weyl modules (e.g. their characterization by homological properties and a
tensor product property) extend to the more general setting considered in the
current paper.

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The categories of this paper are: cs
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci