Irreducible components of minuscule affine Deligne–Lusztig varieties

Paul Hamacher; Eva Viehmann

doi:10.2140/ant.2018.12.1611

Irreducible components of minuscule affine Deligne–Lusztig varieties

Paul Hamacher, Eva Viehmann

Chair of Algorithmic Algebra

Technical University of Munich

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We examine the set of J_b (F)-orbits in the set of irreducible components of affine Deligne–Lusztig varieties for a hyperspecial subgroup and minuscule coweight µ. Our description implies in particular that its number of elements is bounded by the dimension of a suitable weight space in the Weyl module associated with µ of the dual group.

Original language	English
Pages (from-to)	1611-1634
Number of pages	24
Journal	Algebra and Number Theory
Volume	12
Issue number	7
DOIs	https://doi.org/10.2140/ant.2018.12.1611
State	Published - 2018

Keywords

Affine Deligne-Lusztig variety
Affine Grassmannian
Rapoport-Zink spaces

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abstract = "We examine the set of Jb (F)-orbits in the set of irreducible components of affine Deligne–Lusztig varieties for a hyperspecial subgroup and minuscule coweight µ. Our description implies in particular that its number of elements is bounded by the dimension of a suitable weight space in the Weyl module associated with µ of the dual group.",

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AU - Viehmann, Eva

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AB - We examine the set of Jb (F)-orbits in the set of irreducible components of affine Deligne–Lusztig varieties for a hyperspecial subgroup and minuscule coweight µ. Our description implies in particular that its number of elements is bounded by the dimension of a suitable weight space in the Weyl module associated with µ of the dual group.

KW - Affine Deligne-Lusztig variety

KW - Affine Grassmannian

KW - Rapoport-Zink spaces

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DO - 10.2140/ant.2018.12.1611

M3 - Article

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SP - 1611

EP - 1634

JO - Algebra and Number Theory

JF - Algebra and Number Theory

IS - 7

ER -

Irreducible components of minuscule affine Deligne–Lusztig varieties

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Keywords

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