کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1893910 | 1044119 | 2011 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Intertwining operators for Sklyanin algebra and elliptic hypergeometric series
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Intertwining operators for infinite-dimensional representations of the Sklyanin algebra with spins â and âââ1 are constructed using the technique of intertwining vectors for elliptic L-operator. They are expressed in terms of elliptic hypergeometric series with operator argument. The intertwining operators obtained (W-operators) serve as building blocks for the elliptic R-matrix which intertwines tensor product of two L-operators taken in infinite-dimensional representations of the Sklyanin algebra with arbitrary spin. The Yang-Baxter equation for this R-matrix follows from simpler equations of the star-triangle type for the W-operators. A natural graphic representation of the objects and equations involved in the construction is used.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 61, Issue 9, September 2011, Pages 1733-1754
Journal: Journal of Geometry and Physics - Volume 61, Issue 9, September 2011, Pages 1733-1754
نویسندگان
A. Zabrodin,