کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4609823 | 1338530 | 2016 | 68 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Box products in nilpotent normal form theory: The factoring method
ترجمه فارسی عنوان
محصولات جعبه در تئوری شکل عادی نیلپتنت: روش فاکتور
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
Let N be a nilpotent matrix and consider vector fields xË=Nx+v(x) in normal form. Then v is equivariant under the flow eNât for the inner product normal form or eMt for the sl2 normal form. These vector equivariants can be found by finding the scalar invariants for the Jordan blocks in Nâ or M; taking the box product of these to obtain the invariants for Nâ or M itself; and then boosting the invariants to equivariants by another box product. These methods, developed by Murdock and Sanders in 2007, are here given a self-contained exposition with new foundations and new algorithms yielding improved (simpler) Stanley decompositions for the invariants and equivariants. Ideas used include transvectants (from classical invariant theory), Stanley decompositions (from commutative algebra), and integer cones (from integer programming). This approach can be extended to covariants of sl2k for k>1, known as SLOCC in quantum computing.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 260, Issue 2, 15 January 2016, Pages 1010-1077
Journal: Journal of Differential Equations - Volume 260, Issue 2, 15 January 2016, Pages 1010-1077
نویسندگان
James Murdock,