Universal classes for algebraic groups
Touzé, Antoine
Duke Math. J., Tome 151 (2010) no. 1, p. 219-249 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We exhibit cocycles representing certain classes in the cohomology of the algebraic group ${\rm GL}_{n}$ with coefficients in the representation $\Gamma^*(\mathfrak{gl}_n^{(1)})$ . These classes' existence was anticipated by van der Kallen, and they intervene in the proof that reductive linear algebraic groups have finitely generated cohomology algebras (see [18])
Publié le : 2010-02-01
Classification:  20G10,  18G10 
@article{1263478511,
     author = {Touz\'e, Antoine},
     title = {Universal classes for algebraic groups},
     journal = {Duke Math. J.},
     volume = {151},
     number = {1},
     year = {2010},
     pages = { 219-249},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1263478511}
}

Touzé, Antoine. Universal classes for algebraic groups. Duke Math. J., Tome 151 (2010) no. 1, pp.  219-249. http://gdmltest.u-ga.fr/item/1263478511/