Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gerbes on complex reductive Lie groups   We construct a gerbe over a complex reductive Lie group G attached to an
invariant bilinear form on a maximal diagonalizable subalgebra which is Weyl
group invariant and satisfies a parity condition. By restriction to a maximal
compact subgroup K, one then gets a gerbe over K. For a simply-connected group,
the parity condition is the same used by Pressley and Segal; in general, it was
introduced by Deligne and the author. The gerbe is defined by geometric
methods, using the so-called Grothendieck manifold. It is equivariant under the
conjugation action of G; its restriction to a semisimple orbit is not always
trivial. The paper starts with a discussion of gerbe data (in the sense of
Chatterjee and Hitchin) and of gerbes as geometric objects (sheaves of
groupoids); the relation between the two approaches is presented. There is an
Appendix on equivariant gerbes, discussed from both points of view.

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The categories of this paper are: cs
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th