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 $GL_n(\mathbb Z)$ |
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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. |