Affine pavings for affine Springer fibers for split elements in PGL(3)
Vincent Lucarelli
TL;DR
This paper constructs affine space pavings for affine Springer fibers in PGL(3) using intersections with non-standard pavings of the affine Grassmannian, focusing on split elements.
Contribution
It introduces a novel method of constructing pavings for affine Springer fibers in PGL(3) via intersections with specialized affine Grassmannian pavings.
Findings
Pavings are by affine spaces for specific affine Springer fibers.
Construction applies to regular compact elements in split maximal tori.
Method enhances understanding of affine Springer fibers in PGL(3).
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.
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Taxonomy
TopicsFinite Group Theory Research · Coding theory and cryptography · graph theory and CDMA systems