The Steinberg Variety and Representations of Reductive Groups

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dc.creatorDouglass, J. Matthew
dc.creatorRoehrle, Gerhard
dc.date2008-02-06
dc.date2008-10-25
dc.date.accessioned2026-07-07T10:12:45Z
dc.date.available2026-07-07T10:12:45Z
dc.descriptionWe give an overview of some of the main results in geometric representation theory that have been proved by means of the Steinberg variety. Steinberg's insight was to use such a variety of triples in order to prove a conjectured formula by Grothendieck. The Steinberg variety was later used to give an alternative approach to Springer's representations and played a central role in the proof of the Deligne-Langlands conjecture for Hecke algebras by Kazhdan and Lusztig.
dc.description37 pages; significant revision and extension; to appear in J. Algebra
dc.identifierhttps://arxiv.org/abs/0802.0764
dc.identifierhttp://arxiv.org/abs/0802.0764
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172292
dc.subjectRepresentation Theory
dc.subjectK-Theory and Homology
dc.subject22E46, 19L47, 20G05 (Primary); 14F99, 20G99 (Secondary)
dc.titleThe Steinberg Variety and Representations of Reductive Groups
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