arXiv subjects

Shin-ichi Kato

Publications and source records attributed to Shin-ichi Kato.

2 recordsLinked to original sources

arXiv2009

Square integrability of representations on p-adic symmetric spaces

A symmetric space analogue of Casselman's criterion for square integrability of representations of a p-adic group is established. It is described in terms of exponents of Jacquet modules along parabolic subgroups associated to the symmetric space.

math.RT↗

arXiv2007

Subrepresentation Theorem for p-adic Symmetric Spaces

The notion of relative cuspidality for distinguished representations attached to $p$-adic symmetric spaces is introduced. A characterization of relative cuspidality in terms of Jacquet modules is given and a generalization of Jacquet's subrepresentation theorem to the relative case (symmetric space case) is established.

math.RT↗