On speciality of Jordan brackets

• Дата: 2018
• Автор: Shestakov, Ivan
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: Jordan superalgebra; Jordan bracket; Poisson bracket; special algebra; Kantor double.; 17C50; 17C70; 17A70
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/791
• Назва журналу: Algebra and Discrete Mathematics

We conjecture a criterium of speciality for Jordan superalgebras of brackets that generalizes the corresponding criterium for Jordan Poisson superalgebras from [8]. We prove the necessarity condition of the criterium. The question on its sufficiency remains open.