Affine pavings for affine Springer fibers for split elements in PGL(3)

2003/09/07 by Vincent Lucarelli, Lucarelli, Vincent
Computer Science · Engineering · Mathematics · #14L40 #22E67 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #graph theory and CDMA systems #math.RT #msc:14L40 #msc:22E67

paper · pdf · doi:10.48550/arxiv.math/0309132

29 pages, 7 figures

arxiv created 2003/09/07 · openalex publication_date 2003/09/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper constructs pavings by affine spaces for the affine Springer fibers for PGL(3) obtained from regular compact elements in a split maximal torus. These pavings are constructed by intersecting the affine Springer fiber with a non-standard paving of the affine Grassmannian.

Citations

• Sur le lemme fondamental pour les groupes unitaires: le cas totalement ramifie et homogene
• A family of affine Weyl group representations

Related

• Paving Springer fibers for E7
• Pureté des fibres de Springer affines pour GL₄
• Truncated affine grassmannians and truncated affine Springer fibers for GL₃
• Affine pavings and the enhanced nilpotent cone
• Generalized affine Springer fibers