On the homology of the Kac-Moody groups and the cohomology of the 3-connective covers of Lie groups

Nishimura, Osamu

J. Math. Kyoto Univ., Tome 42 (2002) no. 4, p. 175-180 / Harvested from Project Euclid

Résumé

Let $G$ be a compact, 1-connected, simple Lie group of exceptional type, $g$ its Lie algebra, and $p$ an odd prime. In this paper, the mod $p$ homology of the Kac-Moody group $K(g^{(1)})$ and the mod $p$ cohomology of the 3-connective cover over $G$ are determined as Hopf algebras over the Steenrod algebra for every case that the integral homology of $G$ has $p$-torsion.

Publié le : 2002-05-15
Classification: 57T10, 55S10, 57T05

@article{1250284717,
     author = {Nishimura, Osamu},
     title = {On the homology of the Kac-Moody groups and the cohomology of the 3-connective covers of Lie groups},
     journal = {J. Math. Kyoto Univ.},
     volume = {42},
     number = {4},
     year = {2002},
     pages = { 175-180},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250284717}
}

Nishimura, Osamu. On the homology of the Kac-Moody groups and the cohomology of the 3-connective covers of Lie groups. J. Math. Kyoto Univ., Tome 42 (2002) no. 4, pp.  175-180. http://gdmltest.u-ga.fr/item/1250284717/