Summary: Zentralblatt MATH Database 1931 2009
c 2009 European Mathematical Society, FIZ Karlsruhe & Springer-Verlag
Anandavardhanan, U.K.; Rajan, C.S.
Distinguished representations, base change, and reducibility for unitary groups.
Int. Math. Res. Not. 2005, No. 14, 841-854 (2005). ISSN 1073-7928; ISSN 1687-0247
The authors prove a conjecture due to Flicker and Rallis in some special cases. They
first consider the case n = 3 where the representation is supercuspidal, and then give
in terms of this result the following statement: R() = (Z/2Z). As a result, they give
a theorem determining when a Steinberg representation is distinguished with respect
to a character, which is part of a more general conjecture due to Prasad.
Osman Bizim (Bursa)
Keywords : Lie groups; representation; non-Archimedean local field; Steinberg repre-
22E50 Repres. of Lie and linear algebraic groups over local fields