کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9497191 | 1630753 | 2005 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Orthogonal invariants of a matrix of order four and applications
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Orthogonal invariants of a matrix of order four and applications Orthogonal invariants of a matrix of order four and applications](/preview/png/9497191.png)
چکیده انگلیسی
We determine explicitly the algebras of SO4(C)-invariants and O4(C)-invariants of a traceless matrix A of order 4, i.e., we find a set of homogeneous system parameters, minimal set of algebra generators, and Hironaka decomposition for each of these algebras. We have also computed the Hilbert series for the algebra of SOn(C)-invariants of a single matrix A of order n⩽6. All this was originally motivated by the question of orthogonal tridiagonalizability of real matrices of order 4. We show that the answer to this question is negative. It is also negative in the case of complex matrices of order 4 acted upon by the usual complex orthogonal group O4(C).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 202, Issues 1â3, 1 November 2005, Pages 259-283
Journal: Journal of Pure and Applied Algebra - Volume 202, Issues 1â3, 1 November 2005, Pages 259-283
نویسندگان
Dragomir Ž. ÄokoviÄ, Mark L. MacDonald,