کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4599115 | 1631119 | 2015 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Canonical forms of 2×3×32×3×3 tensors over the real field, algebraically closed fields, and finite fields
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Canonical forms of 2×3×32×3×3 tensors over the real field, algebraically closed fields, and finite fields Canonical forms of 2×3×32×3×3 tensors over the real field, algebraically closed fields, and finite fields](/preview/png/4599115.png)
چکیده انگلیسی
We classify the orbits of elements of the tensor product spaces F2⊗F3⊗F3F2⊗F3⊗F3 for all finite, real, and algebraically closed fields under the action of two natural groups. The result can also be interpreted as the classification of the (GL(F2)×GL(F3)×GL(F3))(GL(F2)×GL(F3)×GL(F3))-orbits in the 17-dimensional projective space of 2×3×32×3×3 tensors, which is the natural home of the Segre product of a projective line and two projective planes. The proof is geometric in nature, relies on properties of the Segre embedding, and uses the terminology of projective spaces.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 476, 1 July 2015, Pages 133–147
Journal: Linear Algebra and its Applications - Volume 476, 1 July 2015, Pages 133–147
نویسندگان
Michel Lavrauw, John Sheekey,