# On an asymptotic behavior of elements of order p in irreducible representations of the classical algebraic groups with large enough highest weights

@inproceedings{Suprunenko2000OnAA, title={On an asymptotic behavior of elements of order p in irreducible representations of the classical algebraic groups with large enough highest weights}, author={Irene D. Suprunenko}, year={2000} }

The behavior of the images of a fixed element of order p in irreducible representations of a classical algebraic group in characteristic p with highest weights large enough with respect to p and this element is investigated. More precisely, let G be a classical algebraic group of rank r over an algebraically closed field K of characteristic p > 2. Assume that an element x E G of order p is conjugate to that of an algebraic group of the same type and rank m < r naturally embedded into G. Next…

## One Citation

### Unipotent elements forcing irreducibility in linear algebraic groups

- Mathematics
- 2017

Abstract Let G be a simple algebraic group over an algebraically closed field K of characteristic p>0{p>0}. We consider connected reductive subgroups X of G that contain a given distinguished…

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