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- Title
Unipotent Elements of Nonprime Order in Representations of the Classical Algebraic Groups: Two Big Jordan Blocks.
- Authors
Suprunenko, I.
- Abstract
For irreducible rational representations of the classical algebraic groups in characteristic p > 2, which are not equivalent to the composition of a group morphism and the standard representation, it is proved that usually the image of a unipotent element of order p > p has at least two Jordan blocks of size > p; all exceptions are indicated explicitly. As a corollary, irreducible rational representations of these groups whose images contain unipotent elements with just one Jordan block of size > 1 are classified.
- Subjects
PRIME numbers; GROUP theory; REPRESENTATIONS of algebras; MORPHISMS (Mathematics); MATHEMATICAL analysis; MATHEMATICAL proofs
- Publication
Journal of Mathematical Sciences, 2014, Vol 199, Issue 3, p350
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-014-1863-6