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On the signature of
certain spherical representations
Carina Boyallian |
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Vol. 198 (2001), No. 1, 33–48
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Abstract |
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In this work we prove for all simple real groups of classical type, except for SO∗(n) and Sp(p,q), that if ν ∈ a∗ does not belong to Cρ, the convex hull of the Weyl group orbit of ρ, then the signature of the Hermitian form attached to the irreducible subquotient of the principal spherical series corresponding to ν, with integral infinitesimal character, is indefinite on K-types in p. |
Milestones
Received: 5 May 1999
Revised: 9 December 1999
Published: 1 March 2001
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Authors |
| Carina Boyallian | |
| Famaf - Universidad Nacional de
Córdoba Ciudad Universitaria, Córdoba (5000) Argentina |
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