Paving Springer fibers for E7
Corrado De Concini, Andrea Maffei
TL;DR
This paper demonstrates that for each unipotent element in type E7, the associated Springer fiber admits a paving by affine spaces, providing a geometric understanding of these fibers.
Contribution
It establishes that all Springer fibers in type E7 can be paved by affine spaces, a new geometric result for this exceptional Lie type.
Findings
Springer fibers in E7 are paved by affine spaces
Provides geometric structure for unipotent elements in E7
Advances understanding of Springer theory in exceptional types
Abstract
The purpose of this paper is to show that, for each unipotent element in type E7, the corresponding Springer fiber can be paved by affine spaces.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Finite Group Theory Research · Geometric and Algebraic Topology