Abstract. The parabolically induced representations of special even-orthogonal groups over p-adic field are considered. The main result is a theorem on self-duality, which gives a condition on initial representations, if induced representation has a square integrable subquotient.
1991 Mathematics Subject Classification. 20G05, 22E50.
Key words and phrases. Self-duality, parabolic induction, representations, even-orthogonal groups.