Abstract
Let F be a non-Archimedean local field. Let n >= 1, j >= 0 be integers. This paper gives an exact formula for the number of equivalence classes of irreducible smooth representations of GL(n) (F) which are square-integrable mod centre, satisfy a certain condition on the central character, and admit a fixed vector for the jth principal congruence subgroup of the maximal compact subgroup GL(n) (o(F))
Original language | English |
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Pages (from-to) | 133 - 137 |
Number of pages | 5 |
Journal | BULLETIN OF THE LONDON MATHEMATICAL SOCIETY |
Volume | 39 |
Issue number | 1 |
DOIs | |
Publication status | Published - Feb 2007 |