Report
Semi-direct products involving $Sp_{2n}$ or $Spin_n$ with free algebras of symmetric invariants
| العنوان: | Semi-direct products involving $Sp_{2n}$ or $Spin_n$ with free algebras of symmetric invariants |
|---|---|
| المؤلفون: | Panyushev, Dmitri I., Yakimova, Oksana S. |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Representation Theory, 14L30, 17B08, 17B20, 22E46 |
| الوصف: | This is a part of an ongoing project, the goal of which is to classify all semi-direct products $\mathfrak s=\mathfrak g{\ltimes} V$ such that $\mathfrak g$ is a simple Lie algebra, $V$ is a $\mathfrak g$-module, and $\mathfrak s$ has a free algebra of symmetric invariants. In this paper, we obtain such a classification for the representations of the orthogonal and symplectic algebras. Comment: 30 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1802.07131 |
| رقم الانضمام: | edsarx.1802.07131 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |