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      Character Sheaves for Graded Lie Algebras: Stable Gradings

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          Abstract

          In this paper we construct full support character sheaves for stably graded Lie algebras. Conjecturally these are precisely the cuspidal character sheaves. Irreducible representations of Hecke algebras associated to complex reflection groups at roots of unity enter the description. We do so by analysing the Fourier transform of the nearby cycle sheaves constructed in [GVX2].

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          Journal
          15 December 2020
          Article
          2012.08111
          3e0b711c-d722-44ba-a733-3cc46a51ef5b

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          math.RT math.AG

          Geometry & Topology,Algebra
          Geometry & Topology, Algebra

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