Geodesic
An Explicit Cell Decomposition of the Wonderful Compactification of a Semisimple Algebraic Group
Canadian mathematical bulletin, Tome 46 (2003) no. 1, pp. 140-148

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DOI

We determine an explicit cell decomposition of the wonderful compactification of a semisimple 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.
DOI : 10.4153/CMB-2003-014-1
Mots-clés : 14L30, 14M17, 20M17 
Renner, Lex E. An Explicit Cell Decomposition of the Wonderful Compactification of a Semisimple Algebraic Group. Canadian mathematical bulletin, Tome 46 (2003) no. 1, pp. 140-148. doi: 10.4153/CMB-2003-014-1
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     author = {Renner, Lex E.},
     title = {An {Explicit} {Cell} {Decomposition} of the {Wonderful} {Compactification} of a {Semisimple} {Algebraic} {Group}},
     journal = {Canadian mathematical bulletin},
     pages = {140--148},
     year = {2003},
     volume = {46},
     number = {1},
     doi = {10.4153/CMB-2003-014-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-014-1/}
}
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