Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rational $p$-biset functors   In this paper, I give several characterizations of {\em rational biset
functors over $p$-groups}, which are independent of the knowledge of genetic
bases for $p$-groups. I also introduce a construction of new biset functors
from known ones, which is similar to the Yoneda construction for representable
functors, and to the Dress construction for Mackey functors, and I show that
this construction preserves the class of rational $p$-biset functors.\par This
leads to a characterization of rational $p$-biset functors as additive functors
from a specific quotient category of the biset category to abelian groups.
Finally, I give a description of the largest rational quotient of the Burnside
$p$-biset functor : when $p$ is odd, this is simply the functor $R_\Q$ of
rational representations, but when $p=2$, it is a non split extension of $R_\Q$
by a specific uniserial functor, which happens to be closely related to the
functor of units of the Burnside ring.

12
The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: physics