کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8896343 | 1630414 | 2018 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Invariants of maximal tori and unipotent constituents of some quasi-projective characters for finite classical groups
ترجمه فارسی عنوان
مشتقات ترای حداکثر و اجزای غیر مولد برخی از شخصیت های شبه تصویری برای گروه های کلاسیک محدود
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کلمات کلیدی
گروه های محدود کلاسیک، تئوری نمایندگی، ماژول پیشگیرانه شخصیت ها،
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
We study the decomposition of certain reducible characters of classical groups as the sum of irreducible ones. Let G be an algebraic group of classical type with defining characteristic p>0, μ a dominant weight and W the Weyl group of G. Let G=G(q) be a finite classical group, where q is a p-power. For a weight μ of G the sum sμ of distinct weights w(μ) with wâW viewed as a function on the semisimple elements of G is known to be a generalized Brauer character of G called an orbit character of G. We compute, for certain orbit characters and every maximal torus T of G, the multiplicity of the trivial character 1T of T in sμ. The main case is where μ=(qâ1)Ï and Ï is a fundamental weight of G. Let St denote the Steinberg character of G. Then we determine the unipotent characters occurring as constituents of sμâ
St defined to be 0 at the p-singular elements of G. Let βμ denote the Brauer character of a representation of SLn(q) arising from an irreducible representation of G with highest weight μ. Then we determine the unipotent constituents of the characters βμâ
St for μ=(qâ1)Ï, and also for some other μ (called strongly q-restricted). In addition, for strongly restricted weights μ, we compute the multiplicity of 1T in the restriction βμ|T for every maximal torus T of G.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 500, 15 April 2018, Pages 517-541
Journal: Journal of Algebra - Volume 500, 15 April 2018, Pages 517-541
نویسندگان
A.E. Zalesski,