کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4588541 | 1334188 | 2006 | 38 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
De Rham complex for quantized irreducible flag manifolds
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
It is shown that quantized irreducible flag manifolds possess a canonical q-analogue of the de Rham complex. Generalizing the well-known situation for the standard Podleś' quantum sphere this analogue is obtained as the universal differential calculus of a distinguished first order differential calculus. The corresponding differential d can be written as a sum of differentials ∂ and . The universal differential calculus corresponding to the first order differential calculi d, ∂, and are given in terms of generators and relations. Relations to well-known quantized exterior algebras are established. The dimensions of the homogeneous components are shown to be the same as in the classical case. The existence of a volume form is proven.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 305, Issue 2, 15 November 2006, Pages 704-741
Journal: Journal of Algebra - Volume 305, Issue 2, 15 November 2006, Pages 704-741