کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4587742 1334157 2008 55 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Eigenvalues of unipotent elements in cross-characteristic representations of finite classical groups
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Eigenvalues of unipotent elements in cross-characteristic representations of finite classical groups
چکیده انگلیسی

Let H be a finite classical group, g be a unipotent element of H of order s and θ be an irreducible representation of H with dimθ>1 over an algebraically closed field of characteristic coprime to s. We show that almost always all the s-roots of unity occur as eigenvalues of θ(g), and classify all the triples (H,g,θ) for which this does not hold. In particular, we list the triples for which 1 is not an eigenvalue of θ(g). We also give estimates of the asymptotic behavior of eigenvalue multiplicities when the rank of H grows and s is fixed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 319, Issue 7, 1 April 2008, Pages 2668-2722