Аннотация
We consider Lie algebras equipped with a Rota Baxter operator. The forgetful functor from this category to the category of Lie algebras has a left adjoint one denoted by U-RB. We prove an operator analogue of the Poincare-Birkhoff-Witt theorem for U-RB by means of Grobner-Shirshov bases theory for Lie algebras with an additional operator.
Язык оригинала | английский |
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Страницы (с-по) | 887-905 |
Число страниц | 19 |
Журнал | Journal of Lie Theory |
Том | 27 |
Номер выпуска | 3 |
Состояние | Опубликовано - 2017 |