تقرير
Applications of the quaternionic Jordan form to hypercomplex geometry
| العنوان: | Applications of the quaternionic Jordan form to hypercomplex geometry |
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| المؤلفون: | Andrada, Adrián, Barberis, María Laura |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, 53C26, 22E25, 22E40, 53C55 |
| الوصف: | We apply the quaternionic Jordan form to classify the hypercomplex nilpotent almost abelian Lie algebras in all dimensions and to carry out the complete classification of 12-dimensional hypercomplex almost abelian Lie algebras. Moreover, we determine which 12-dimensional simply connected hypercomplex almost abelian Lie groups admit lattices. Finally, for each integer $n>1$ we construct infinitely many, up to diffeomorphism, $(4n+4)$-dimensional hypercomplex almost abelian solvmanifolds which are completely solvable. These solvmanifolds arise from a distinguished family of monic integer polynomials of degree $n$. Comment: Comments are welcome! |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.18656 |
| رقم الأكسشن: | edsarx.2405.18656 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |