The homology of special linear groups over polynomial rings

@inproceedings{Knudson1997TheHO,
  title={The homology of special linear groups over polynomial rings},
  author={Kevin P. Knudson},
  year={1997}
}
We study the homology of SLn(F [t, t ]) by examining the action of the group on a suitable simplicial complex. The E–term of the resulting spectral sequence is computed and the differential, d, is calculated in some special cases to yield information about the low-dimensional homology groups of SLn(F [t, t ]). In particular, we show that if F is an infinite field, then H2(SLn(F [t, t ]), Z) = K2(F [t, t]) for n ≥ 3. We also prove an unstable analogue of homotopy invariance in algebraic K–theory… CONTINUE READING
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