INVESTIGADORES
BOYALLIAN Carina
artículos
Título:
On the signature of certain spherical representations
Autor/es:
C. BOYALLIAN
Revista:
PACIFIC JOURNAL OF MATHEMATICS
Editorial:
PACIFIC JOURNAL MATHEMATICS
Referencias:
Año: 2001 vol. 198 p. 33 - 48
ISSN:
0030-8730
Resumen:
In this work we prove for all simple real reductive groups of classical type, except for SO*(N) and Sp(p,q), that if $\nu\in\frak a*$ does not belogs to $C_\rho$, the convex hull of the Weyl grou orbit of $\rho$, then the signature of the Hermitian form attached to the irreducible subquotient of the principal sphericla series corresponding to $ \nu$, with integral infinitesiml character, is indefinite on K-types in $\frak p$
