A topological approach to Springer's representations

@article{Kazhdan1980ATA,
title={A topological approach to Springer's representations},
author={D. Kazhdan and G. Lusztig},
journal={Advances in Mathematics},
year={1980},
volume={38},
pages={222-228}
}

Let u be a unipotent element in a complex semisimple group G and let 3,, be the variety of Bore1 subgroups of G which contain u. In [4, 51, Springer has defined a representation of W, the Weyl group of G, on the homology of 2:, and showed how to decompose the Wrepresentation in the top homology of .53’U so that all irreducible representations of W are obtained. His mehod used etale cohomology of algebraic varieties in characteristic p. In this paper, we shall give an elementary construction… Expand