تقرير
Degenerations of 3-dimensional nilpotent associative algebras over an algebraically closed field
| العنوان: | Degenerations of 3-dimensional nilpotent associative algebras over an algebraically closed field |
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| المؤلفون: | Ivanova, N. M., Pallikaros, C. A. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras, 14R20, 14D06 |
| الوصف: | We determine the complete degeneration picture inside the variety of nilpotent associative algebras of dimension 3 over an algebraically closed field of characteristic not equal to 2. Comparing with the discussion in [Ivanova N.M. and Pallikaros C.A., Degenerations of complex associative algebras of dimension three via Lie and Jordan algebras, {\it Advances in Group Theory and Applications}, 18 (2024), 41-79], for some of the arguments in the present article we needed to develop alternative techniques which are now valid over an arbitrary algebraically closed field. There is a dichotomy of cases concerning the results obtained, corresponding to whether the characteristic of the field is 2 or not. Comment: In this new version the case where the field has characteristic equal to two is also discussed |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2312.09771 |
| رقم الأكسشن: | edsarx.2312.09771 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |