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June 19, 2026Journal of Lie theory

The affine root system of an isoparametric submanifold in Hilbert space

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Authors

CGCláudio GorodskiEHErnst Heintze

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Overview

Alternative construction uncovers affine root systems in isoparametric submanifolds, suggesting new insights into geometric structures.

Key Points

  • This research aims to provide a new way to understand the affine root system of isoparametric submanifolds in Hilbert spaces without using established theorems.
  • Developed an alternative approach for constructing affine root systems.
  • Focused on isoparametric submanifolds in a Hilbert space context.
  • Avoided reliance on Dadok’s theorem.
  • Introduced a novel construction method for the affine root system.
  • Demonstrated increased understanding of geometric structures in Hilbert spaces.

Cite This Study

Gorodski et al. (2026) studied this question.

synapsesocial.com/papers/6a34dff765a5b0777af2efbdhttps://doi.org/10.5802/jolt.1418
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

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