Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smooth representations of GL(m,D), V: Endo-classes   Let F be a locally compact nonarchimedean local field. In this article, we
extend to any inner form of GL(n) over F the notion of endo-class introduced by
Bushnell and Henniart for GL(n,F). We investigate the intertwining relations of
simple characters of these groups, in particular their preservation properties
under transfer. This allows us to associate to any discrete series
representation of an inner form of GL(n,F) an endo-class over F. We conjecture
that this endo-class is invariant under the local Jacquet-Langlands
correspondence.

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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph