On representations of elementary subgroups of Chevalley groups over algebras
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- by Yu Chen PDF
- Proc. Amer. Math. Soc. 123 (1995), 2357-2361 Request permission
Abstract:
It is shown that every nontrivial linear or projective representation of the elementary subgroup of a Chevalley group over an algebra containing an infinite field must have degree greater than or equal to the square root of the dimension of the corresponding Chevalley-Demazure group scheme adding 1 and the equality emerges only if the Chevalley group is of type ${A_n}$ for $n \geq 1$.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 2357-2361
- MSC: Primary 20G35; Secondary 20G05
- DOI: https://doi.org/10.1090/S0002-9939-1995-1283542-7
- MathSciNet review: 1283542