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Generic Newton points and cordial elements

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arxiv 2205.02039 v2 pith:YIM44UUU submitted 2022-05-04 math.RT

classification math.RT
keywords cordialelementsgenericapplicationassociatedc-viehmannceviclasses
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abstract

We describe the generic $\sigma$-conjugacy classes associated with the Iwahori-Bruhat decomposition of a reductive group. As an application, we classify cordial elements as introduced by Mili\'cevi\'c-Viehmann.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Irreducibility of Local Models

    math.AG 2024-12 conditional novelty 8.0 of 10

    Irreducibility of local models is classified by double quotients of relative Weyl groups, and all fibers of level-changing maps are single Schubert varieties.

  2. The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products

    math.RT 2024-11 conditional novelty 6.0 of 10

    For type SL2-hat, the quantum Bruhat graph formula for the Demazure product on the double affine Weyl semigroup is well-defined for positive levels and associative for levels greater than one.

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