Representations of semisimple Lie algebras in prime characteristic and the noncommutative Springer resolution

We prove most of Lusztig’s conjectures on the canonical basis in homology of a Springer fiber. The conjectures predict that this basis controls numerics of representations of the Lie algebra of a semisimple algebraic group over an algebraically closed field of positive characteristic. We check this...

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Bibliographic Details
Main Authors: Bezrukavnikov, Roman, Mirković, Ivan
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Princeton University Press 2015
Online Access:http://hdl.handle.net/1721.1/92808
https://orcid.org/0000-0001-5902-8989

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