The principal series of GL2 over a local field
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چکیده
One can construct a large swath of irreducible representations of G by taking all irreducible subquotients of the π(χ1, χ2). These are known as the principal series representations of G. To classify them, it is important to know the decomposition series of each π(χ1, χ2). It is not necessarily the case that π(χ1, χ2) is irreducible. For instance, π(| | , | |) = sm-IndGB 1 sits in an exact sequence
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