| Автор | G E Arutuynov |
| Автор | A P Isaev |
| Автор | Z Popowicz |
| Дата выпуска | 1995-08-07 |
| dc.description | We investigate the possibility of constructing bicovariant differential calculi on quantum groups SO<sub>q</sub>(N) and Sp<sub>q</sub>(N) as a quantization of an underlying bicovariant bracket. We show that, in contrast to the GL(N) and SL(N) cases, neither of the possible graded SO and Sp bicovariant brackets (associated with a quasitriangular r-matrices) obey the Jacobi identity when the differential forms are Lie algebra-valued. The absence of a classical Poisson structure gives an indication that differential algebras describing bicovariant differential calculi on quantum orthogonal and symplectic groups are not of Poincare-Birkhoff-Witt type. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Poincare-Birkhoff-Witt property for bicovariant differential algebras on simple quantum groups |
| Тип | paper |
| DOI | 10.1088/0305-4470/28/15/015 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 28 |
| Первая страница | 4349 |
| Последняя страница | 4359 |
| Аффилиация | G E Arutuynov; Steklov Math. Inst., Moscow, Russia |
| Аффилиация | A P Isaev; Steklov Math. Inst., Moscow, Russia |
| Аффилиация | Z Popowicz; Steklov Math. Inst., Moscow, Russia |
| Выпуск | 15 |
