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Representations of reductive groups over finite rings

Representation Theory 2007-05-23 v1

Abstract

We discuss a cohomological construction of representations of a reductive group over the ring of power series over a finite field modulo the r-th power of the maximal ideal. The case r=1 goes back to Deligne and the author. The case where r is greater than 1 was given without proof in the author's work in 1977. Here we supply the proofs and give some further results.

Keywords

Cite

@article{arxiv.math/0208037,
  title  = {Representations of reductive groups over finite rings},
  author = {G. Lusztig},
  journal= {arXiv preprint arXiv:math/0208037},
  year   = {2007}
}

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18 pages