Homological stability for certain classical groups

Details Homological stability for certain classical groups Homological stability for certain classical groups

2008-03-28

arxiv.org/abs/0803.4136v1

Mathematics

K-Theory and Homology

Scientific paper

We prove homological stability for standard unitary groups over R, C and H
and for general linear groups over skew-fields with infinite centre. We focus
on the similarities and differences of these proofs. Both proofs are due to
Chih-Han Sah (Homology of classical Lie groups made discrete I: Stability
theorems and Schur multipliers. Comment. Math. Helv. 61(2), 1986).

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