Institute of Mathematics for Industry

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On some monomial representations of exponential Lie groups


Hold Date 2013-01-22 16:30~2013-01-22 17:30

Place Seminar Room 6, Faculty of Mathematics building, Ito Campus

Object person  

Speaker Ali Baklouti (Sfax University)

summary:
We discuss in this talk some problems related to a monomial representations $\tau=\Ind_H^G\chi$, where $G$ denotes an exponential solvable Lie group, $H$ an analytic subgroup of $G$ and $\chi$ a unitary character of $H$.  We first record some results where $G$ is nilpotent.  Passing from nilpotent to exponential, many complications arise. The goal is to put the emphasis on a restrictive case where the multiplicities of $\tau$ are with discrete type.  This is a joint work in progress with H. Fujiwara and J. Ludwig.