THE MINIMAL POLYNOMIALS OF UNIPOTENT ELEMENTS IN IRREDUCIBLE REPRESENTATIONS OF THE SPECIAL LINEAR GROUP

Authors
SUPRUNENKO ID
Citation
Id. Suprunenko, THE MINIMAL POLYNOMIALS OF UNIPOTENT ELEMENTS IN IRREDUCIBLE REPRESENTATIONS OF THE SPECIAL LINEAR GROUP, Acta applicandae mathematicae, 52(1-3), 1998, pp. 325-330
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
Journal title
Acta applicandae mathematicae → ACNP
ISSN journal
01678019
Volume
52
Issue
1-3
Year of publication
1998
Pages
325 - 330
Database
ISI
SICI code
0167-8019(1998)52:1-3<325:TMPOUE>2.0.ZU;2-C
Abstract
The minimal polynomials of images of unipotent elements in irreducible rational representations of a special linear group over an algebraica lly closed field of characteristic p > 2 are found. In particular, we show that the degree of such polynomial is equal to the order of an el ement provided the highest weight of a representation is in some sense large enough with respect to p.