Irreducible representations of simple algebraic groups in which a unipotent element is represented by a matrix with a single non-trivial Jordan block
-
Donna M. Testerman
und
Alexandre E. Zalesski
Abstract
Let G be a simply connected simple linear algebraic group of exceptional Lie type over an algebraically closed field F
of characteristic
Award Identifier / Grant number: 200021_146223
Funding statement: The first author was supported in part by Swiss National Science Foundation (grant no. ). A part of this work was carried out with the generous support of the Bernoulli Center, at the Swiss Federal Institute of Technology Lausanne, when the second author participated in the program “Local representation theory and simple groups” (2016).
Acknowledgements
We would like to thank Gunter Malle for reading an earlier version of the paper and also Irina Suprunenko for providing us with precise details of her own work.
References
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© 2018 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Irreducible representations of simple algebraic groups in which a unipotent element is represented by a matrix with a single non-trivial Jordan block
- Sandwich classification for GLn(R), O2n(R) and U2n(R,Λ) revisited
- Critical maximal subgroups and conjugacy of supplements in finite soluble groups
- Finite $\smash{p}$\hbox{-}groups of conjugate type {1,p3}
- Normal subgroups in limit groups of prime index
- Uncountable locally free groups and their group rings
- Full box spaces of free groups
- Almost congruence extension property for subgroups of free groups
- Solving equations of length seven over torsion-free groups
- On the structure of virtually nilpotent compact p-adic analytic groups
Artikel in diesem Heft
- Frontmatter
- Irreducible representations of simple algebraic groups in which a unipotent element is represented by a matrix with a single non-trivial Jordan block
- Sandwich classification for GLn(R), O2n(R) and U2n(R,Λ) revisited
- Critical maximal subgroups and conjugacy of supplements in finite soluble groups
- Finite $\smash{p}$\hbox{-}groups of conjugate type {1,p3}
- Normal subgroups in limit groups of prime index
- Uncountable locally free groups and their group rings
- Full box spaces of free groups
- Almost congruence extension property for subgroups of free groups
- Solving equations of length seven over torsion-free groups
- On the structure of virtually nilpotent compact p-adic analytic groups
