Eigenvector varieties

Any linear space of square matrices has an associated eigenvector variety. Its points are eigenvectors of matrices from that linear space. We present a systematic study of eigenvector varieties, with focus on Lie algebras and Hamiltonians of quantum systems.

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Publication Details

Journal
Advances in Applied Mathematics
Published
2026-08-26
DOI
https://doi.org/10.1016/j.aam.2026.103146
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00

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article

Eigenvector varieties

Sandra Di Rocco, Svala Sverrisdóttir, Bernd Sturmfels
Advances in Applied Mathematics
Algebraic structures and combinatorial models
article

Eigenvector varieties

Sandra Di Rocco, Svala Sverrisdóttir, Bernd Sturmfels
article en

Abstract

Any linear space of square matrices has an associated eigenvector variety. Its points are eigenvectors of matrices from that linear space. We present a systematic study of eigenvector varieties, with focus on Lie algebras and Hamiltonians of quantum systems.

Advances in Applied MathematicsVol. 181
Vetenskapsrådet
Openalex Percentile: Top 30%
Algebraic structures and combinatorial models
DOIOpen Access PDFOpenAlex
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Eigenvector varieties — Sandra Di Rocco, Svala Sverrisdóttir, et al. · Advances in Applied Mathematics (2026) | TGRS Research Map | TGRS