Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generic character sheaves on groups over $\kk[\e]/(\e^r)$   Let $G$ be a connected reductive group over $\kk$, an algebraic closure of a
finite field. For an integer $r\ge 1$ let $G_r=G(\kk[\e]/(\e^r))$ viewed as an
algebraic group of dimension $r\dim G$ over $\kk$. We show that the character
of the generic principal series representation of $G_r(F_q)$ can be realized by
a simple perverse sheaf on $G_r$ provided that $r=2$ or $r=4$ and we give a
strategy to prove the same statement for any even $r$. (The case where $r=1$ is
already known.)

33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
19
The categories of this paper are: eess
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn