Split Casimir operator for simple Lie algebras, solutions of Yang–Baxter equations, and Vogel parameters-Reference-Cited by-同舟云学术

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Split Casimir operator for simple Lie algebras, solutions of Yang–Baxter equations, and Vogel parameters

Published:2021-08-01 Issue:8 Volume:62 Page:083503
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:Journal of Mathematical Physics

Author:

Isaev A. P.¹²³^ORCID,Krivonos S. O.¹^ORCID

Affiliation:

1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia

2. St. Petersburg Department of Steklov Mathematical Institute of RAS, Fontanka 27, 191023 St. Petersburg, Russia

3. Faculty of Physics, Lomonosov Moscow State University, Moscow, Russia

Funder

Russian Science Foundation

Russian Foundation for Basic Research

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://aip.scitation.org/doi/pdf/10.1063/5.0049055

Reference36 articles.

1. Yang-Baxter Equation and Quantum Enveloping Algebras

2. Quantum groups

3. Group Theory

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Split Casimir Operator of Algebra $$D(2,1;\alpha )$$ in Representations $$a{{d}^{{ \otimes 2}}}$$ and $$a{{d}^{{ \otimes 3}}}$$ and Vogel Parameterization;Physics of Particles and Nuclei Letters;2024-08

2. Tau-functions beyond the group elements;Nuclear Physics B;2024-04

3. Split Casimir operator for simple Lie algebras in the cube of ad-representation and Vogel parameters;International Journal of Modern Physics A;2023-03-10

4. Split Casimir operator and solutions of the Yang–Baxter equation for the $$osp(M|N)$$ and $$s\ell(M|N)$$ Lie superalgebras, higher Casimir operators, and the Vogel parameters;Theoretical and Mathematical Physics;2022-02

5. Расщепленный оператор Казимира и решения уравнения Янга-Бакстера для супералгебр Ли $osp(M|N)$ и $s\ell(M|N)$, высшие операторы Казимира и параметры Вожеля;Teoreticheskaya i Matematicheskaya Fizika;2022-01-27

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