Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Types et contragr\'edientes   Let G be a p-adic reductive group, and R an algebraically closed field. Let
us consider a smooth representation of G on an R-vector space V. Fix an open
compact subgroup K of G and a smooth irreducible representation of K on a
finite-dimensional R-vector space W. The space of K-homomorphisms from W to V
is a right module over the intertwining algebra H(G,K,W). We examine how those
constructions behave when we pass to the contragredient representations of V
and W, and we give conditions under which the behaviour is the same as in the
case of complex representations. We take an abstract viewpoint and use only
general properties of G. In the last section, we apply this to the theory of
types for the group GL(n) and its inner forms over a non-Archimedean local
field.

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The categories of this paper are: hep-ph
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom