Reducibility for $SU_n$ and generic elliptic representations

Details Reducibility for $SU_n$ and generic elliptic representations Reducibility for $SU_n$ and generic elliptic representations

2004-01-22

arxiv.org/abs/math/0401287v1

Mathematics

Representation Theory

Scientific paper

We examine the reducibility of induced from discrete series representations of $SU_n$ over a $p$--adic field of characteristic zero. Some results are given for groups sharing derived group. We give a relationship between the $R$-groups for $U)n$ and $SU_n.$ Nonabelian $R$-groups are discussed. Elliptic representations are examined and in the generic case we give an explicit description f those $L$--packets containing non-discrete elliptic tempered representations. We exhibit $L$--packets containing both elliptic and non-elliptic components.

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