دانلود کتاب A character formula for a family of simple modular representations of GL(n)

Name: A character formula for a family of simple modular representations of GL(n)
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Author: Mathieu O.

by Mathieu O., Papadopoulo G.

عنوان فارسی: فرمول شخصیت برای یک خانواده از نمایندگی های مدولار ساده از GL (N)
سال: 1999
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 17-17
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 0.22 مگابایت

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Let K be an algebraically closed field of finite characteristic p, and let be an integer. In the paper, we give a character formula for all simple rational representations of with highest weight any multiple of any fundamental weight. Our formula is slightly more general: say that a dominant weight λ is special if there are integers such that and . Indeed, we compute the character of any simple module whose highest weight λ can be written as with all are special. By stabilization, we get a character formula for a family of irreducible rational -modules.

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