Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The twining character formula for reductive groups   Let $\widehat{G}$ be a connected reductive group over an algebraically closed
field with a pinning-preserving outer automorphism $\sigma$. Jantzen's twining
character formula relates the trace of the action of $\sigma$ on a
highest-weight representation $V_{\mu}$ of $\widehat{G}$ to the character of a
corresponding highest-weight representation $(V_{\sigma})_{\mu}$ of a related
group $\widehat{G^{\sigma, \circ}}$. This paper extends the methods of Hong's
geometric proof for the case $\widehat{G}$ is adjoint, to prove that the
formula holds for all connected reductive groups, and examines the role of
additional hypotheses. In the final section, it is explained how these results
can be used to draw conclusions about quasi-split groups over a non-Archimedean
local field. This paper thus provides a more general geometric proof of the
Jantzen twining character formula and provides some apparently new results of
independent interest along the way.

35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin