Bibliographic Details
| Title: |
Cohomology of unipotent group schemes |
| Authors: |
Friedlander, Eric M. |
| Publication Year: |
2017 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Representation Theory, 20G05, 20C20, 20G10 |
| More Details: |
We verify that universal classes in the cohomology of $GL_N$ determine explicit cohomology classes of Frobenius kernels $G_{(r)}$ of various linear algebraic groups $G$ . We consider the relationship of $\varprojlim_r H^*(U_{(r)},k)$ to the rational cohomology $H^*(U,k)$ of many unipotent algebraic groups $U$. The second half of this paper investigates in detail the cohomology of Frobenius kernels $(U_3)_{(r)}$ of the Heisenberg group $U_3 \subset GL_3$.
Comment: Total revision of previous version: new title and abstract; new ordering of material; some results limited to the special case of the Heisenberg group |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/1702.04831 |
| Accession Number: |
edsarx.1702.04831 |
| Database: |
arXiv |
