Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
38(1), 145 - 148 (1997)

Correspondence bewteen Representations of the Dual Reductive Pair $O(n)$ and $SL_2$

Ilya Piatetski-Shapiro, Mina Teicher

Dept. of Mathematics, Tel-Aviv University, Ramat-Aviv, Israel

Dept. of Math. & Comp. Sci., Bar-Ilan University, Ramat-Gan 52900, Israel

Abstract: We state a connection between the Weil representation of the dual reductive pair $O(n)$ and $SL_2$, and prove that they have eigenvectors in common.

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