1. CMB 2006 (vol 49 pp. 196)
|Another Proof of Totaro's Theorem on $E_8$-Torsors |
We give a short proof of Totaro's theorem that every$E_8$-torsor over a field $k$ becomes trivial over a finiteseparable extension of $k$of degree dividing $d(E_8)=2^63^25$.
Categories:11E72, 14M17, 20G15
2. CMB 2003 (vol 46 pp. 140)
|An Explicit Cell Decomposition of the Wonderful Compactification of a Semisimple Algebraic Group |
We determine an explicit cell decomposition of the wonderful compactification of a semi\-simple algebraic group. To do this we first identify the $B\times B$-orbits using the generalized Bruhat decomposition of a reductive monoid. From there we show how each cell is made up from $B\times B$-orbits.
Categories:14L30, 14M17, 20M17