Izvorni znanstveni članak

https://doi.org/10.3336/gm.44.2.08

Intertwining operators and composition series of generalized and degenerate principal series for Sp(4,R)

Goran Muić ; Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia

Sažetak

In this paper we study analytic properties of intertwining operators and apply them to the determination of the composition series of degenerate and generalized principal series for Sp(4,R). We expect that that some of the methods developed here will extend to higher rank groups in order to extend the formalism of degenerate Eisenstein series given in our previous papers. In higher rank cases we expect to be more dependent on the algebraic theory of representation theory of the real reductive groups as developed by Vogan.

Ključne riječi

Intertwining operators; composition series; generalized principal series

Hrčak ID:

44052

URI

https://hrcak.srce.hr/44052

Datum izdavanja:

9.12.2009.

Posjeta: 1.314 *