تقرير
Conjugate Real Classes in General Linear Groups
| العنوان: | Conjugate Real Classes in General Linear Groups |
|---|---|
| المؤلفون: | Gongopadhyay, Krishnendu, Mazumder, Sudip, Sardar, Sujit Kumar |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras, Primary 20E45, Secondary 20G15, 15A04 |
| الوصف: | Let $\F$ be a field with a non-trivial involution $c: \alpha \to \alpha^c$. An element $g \in {\rm GL}_n(\F)$ is called $c$-real if it is conjugate to $(g^c)^{-1}$. We prove that for $n \geq 2$, $g \in {\rm GL}_n(\F)$ is $c$-real if and only if it has a representation in some unitary group of degree $n$ over $\F$. Comment: minor revision. Fixed minor errors |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1702.08149 |
| رقم الأكسشن: | edsarx.1702.08149 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |