dc.creator Juteau, Daniel dc.date 2007-04-25 dc.date 2007-06-13 dc.date.accessioned 2012-06-08T14:34:40Z dc.date.available 2012-06-08T14:34:40Z dc.date.issued 2012-06-08 dc.identifier http://arxiv.org/abs/0704.3417 dc.identifier.uri https://repositorio.leon.uia.mx/xmlui/123456789/43335 dc.description We compute the integral cohomology of the minimal non-trivial nilpotent orbit in a complex simple (or quasi-simple) Lie algebra. We find by a uniform approach that the middle cohomology group is isomorphic to the fundamental group of the sub-root system generated by the long simple roots. The modulo $\ell$ reduction of the Springer correspondent representation involves the sign representation exactly when $\ell$ divides the order of this cohomology group. The primes dividing the torsion of the rest of the cohomology are bad primes. dc.description Comment: 29 pages, v2 : Leray-Serre spectral sequence replaced by Gysin sequence only, corrected typos dc.subject Mathematics - Representation Theory dc.subject 20G99 dc.title Cohomology of the minimal nilpotent orbit dc.type text
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