Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
38(1), 135 - 143 (1997)

Commutativity of the Schur Algebra

Mina Teicher

Department of Mathematics and Computer Science, Bar-Ilan University, Ramat-Gan 52900, Israel

Abstract: In this paper we study the Schur algebra of the induced representation of the Weil representation of a certain subgroup of GL$_2(C)$ and prove that it is commutative. It thus implies that the representation is multiplicity free.

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