تقرير
Subalgebras of Lie algebras. Example of sl(3,R) revisited
| العنوان: | Subalgebras of Lie algebras. Example of sl(3,R) revisited |
|---|---|
| المؤلفون: | Chapovskyi, Yevhenii Yu., Koval, Serhii D., Zhur, Olha |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Mathematics - Representation Theory, 81R05, 17B05, 22E70, 22E60 |
| الوصف: | Revisiting the results by Winternitz [Symmetry in physics, CRM Proc. Lecture Notes 34, American Mathematical Society, Providence, RI, 2004, pp. 215-227], we thoroughly refine his classification of Lie subalgebras of the real order-three special linear Lie algebra and thus present the correct version of this classification for the first time. A similar classification over the complex numbers is also carried out. We follow the general approach by Patera, Winternitz and Zassenhaus but in addition enhance it and rigorously prove its theoretical basis for the required specific cases of classifying subalgebras of real or complex finite-dimensional Lie algebras. As a byproduct, we first construct complete lists of inequivalent subalgebras of the rank-two affine Lie algebra over both the real and complex fields. Comment: revisited, corrected and extended version |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.02554 |
| رقم الأكسشن: | edsarx.2403.02554 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |