تقرير
Hopf algebras, Steinberg modules, and the unstable cohomology of $SL_n(\mathbb Z)$ and $GL_n(\mathbb Z)$
| العنوان: | Hopf algebras, Steinberg modules, and the unstable cohomology of $SL_n(\mathbb Z)$ and $GL_n(\mathbb Z)$ |
|---|---|
| المؤلفون: | Ash, Avner, Miller, Jeremy, Patzt, Peter |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Topology, Mathematics - K-Theory and Homology, Mathematics - Number Theory |
| الوصف: | We prove that the direct sum of all homology groups of the integral general linear groups with Steinberg module coefficients form a commutative Hopf algebra, in particular a free graded commutative algebra. We use this to construct new infinite families of unstable cohomology classes of $SL_n(\mathbb Z)$. Comment: 11 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.13776 |
| رقم الأكسشن: | edsarx.2404.13776 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |