کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10736170 | 1045362 | 2005 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Normal forms of irreducible sl3-valued zero curvature representations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Normal forms of irreducible sl3-valued zero curvature representations Normal forms of irreducible sl3-valued zero curvature representations](/preview/png/10736170.png)
چکیده انگلیسی
One of the ways to overcome existing limitations of the famous Wahlquist-Estabrook procedure consists in employing normal forms of zero curvature representations (ZCR). While in case of sľ2 normal forms are known for a long time, the next step is made in this paper. We find normal forms of sľ3-valued ZCR that are not reducible to a proper subalgebra of sľ3. We also prove a reducibility theorem, which says that if one of the matrices in a ZCR (A, B) falls into a proper subalgebra of sľ3, then the second matrix either falls into the same subalgebra or the ZCR is in a sense trivial. In the end of this paper we show examples of ZCR and their normal forms.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Reports on Mathematical Physics - Volume 55, Issue 3, June 2005, Pages 435-445
Journal: Reports on Mathematical Physics - Volume 55, Issue 3, June 2005, Pages 435-445
نویسندگان
Peter Sebestyén,