## On Minuscule Representations and the Principal SL$_2$

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- by Benedict H. Gross
- Represent. Theory
**4**(2000), 225-244 - DOI: https://doi.org/10.1090/S1088-4165-00-00106-0
- Published electronically: July 27, 2000
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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.## References

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## Bibliographic Information

**Benedict H. Gross**- Affiliation: Science Center 325, Harvard University, One Oxford Street, Cambridge, MA 02138
- MR Author ID: 77400
- Email: gross@math.harvard.edu
- Received by editor(s): May 9, 2000
- Received by editor(s) in revised form: June 13, 2000
- Published electronically: July 27, 2000
- © Copyright 2000 American Mathematical Society
- Journal: Represent. Theory
**4**(2000), 225-244 - MSC (2000): Primary 20G05
- DOI: https://doi.org/10.1090/S1088-4165-00-00106-0
- MathSciNet review: 1795753