Formulates a conjectural classification of H_{1,n-1}-distinguished irreducible smooth representations of GL_n(D) for n>2 and proves it for n=3 and n=4.
and Kutzko, Philip C
2 Pith papers cite this work. Polarity classification is still indexing.
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For n greater than or equal to 3 and sufficiently generic weights, the universal supersingular representation of GL_n(k) is non-admissible and of infinite length.
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On representations of GL(n) distinguished by GL(1)*GL(n-1) over a quaternion division algebra
Formulates a conjectural classification of H_{1,n-1}-distinguished irreducible smooth representations of GL_n(D) for n>2 and proves it for n=3 and n=4.
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Non-admissibility of some universal supersingular representations
For n greater than or equal to 3 and sufficiently generic weights, the universal supersingular representation of GL_n(k) is non-admissible and of infinite length.