Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Zentralblatt MATH Database 1931 2009 c 2009 European Mathematical Society, FIZ Karlsruhe & Springer-Verlag
 

Summary: Zentralblatt MATH Database 1931 2009
c 2009 European Mathematical Society, FIZ Karlsruhe & Springer-Verlag
Zbl 1122.11034
Rajan, C.S.
On Langlands functoriality reduction to the semistable case. (English)
Dani, S. G. (ed.) et al., Algebraic groups and arithmetic. Proceedings of the interna-
tional conference, Mumbai, India, December 1722, 2001. New Delhi: Narosa Publish-
ing House/Published for the Tata Institute of Fundamental Research. 199-219 (2004).
ISBN 81-7319-618-4/hbk
Langlands' philosophy predicts that an L-morphism between the L-groups of two con-
nected reductive groups gives rise to a transfer of automorphic forms of one group to
the other. The paper is meant to enunciate a principle according to which the trans-
fer corresponding to an L-morphism can be defined for all the members of a class of
automorphic representations if it can be defined for a suitably defined "nice" subclass
of representations, provided the class satisfies some properties like closure under tak-
ing cyclic base change. This principle has its origin in the work of D. Blasius and D.
Ramakrishnan [Publ., Math. Sci. Res. Inst. 16, 3377 (1989; Zbl 0699.10043)]. The
author proves the following theorem to illustrate the principle: Let F be a number field,
and let : GF GLn(Ql) be an irreducible -adic representation of GF . Suppose
for any finite solvable extension K/F, such that the restriction K

  

Source: Anandavardhanan, U. K. - Department of Mathematics, Indian Institute of Technology Bombay

 

Collections: Mathematics