Report
KZ equations and Bethe subalgebras in generalized Yangians related to compatible R-matrices
| العنوان: | KZ equations and Bethe subalgebras in generalized Yangians related to compatible R-matrices |
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| المؤلفون: | Gurevich, Dimitri, Saponov, Pavel, Talalaev, Dmitry |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra, 81R50, 17B65 |
| الوصف: | The notion of compatible braidings was introduced by Isaev, Ogievetsky and Pyatov. On the base of this notion they defined certain quantum matrix algebras generalizing the RTT algebras and Reflection Equation ones. They also defined analogs of some symmetric polynomials in these algebras and showed that these polynomials generate commutative subalgebras, called Bethe. By using a similar approach we introduce certain new algebras called generalized Yangians and define analogs of some symmetric polynomials in these algebras. We claim that they commute with each other and thus generate a commutative Bethe subalgebra in each generalized Yangian. Besides, we define some analogs (also arising from couples of compatible braidings) of the Knizhnik-Zamolodchikov equation--classical and quantum. Comment: 15 pages, 7 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1812.04804 |
| رقم الانضمام: | edsarx.1812.04804 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |