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Representation Theory

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On Minuscule Representations and the Principal SL$_2$

Author: Benedict H. Gross
Journal: Represent. Theory 4 (2000), 225-244
MSC (2000): Primary 20G05
Published electronically: July 27, 2000
MathSciNet review: 1795753
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Abstract: We study the restriction of minuscule representations to the principal $SL_2$, and use this theory to identify an interesting test case for the Langlands philosophy of liftings.

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Benedict H. Gross
Affiliation: Science Center 325, Harvard University, One Oxford Street, Cambridge, MA 02138

Received by editor(s): May 9, 2000
Received by editor(s) in revised form: June 13, 2000
Published electronically: July 27, 2000
Article copyright: © Copyright 2000 American Mathematical Society