Maximal Graded Solvable Subalgebras of Simple Finite-Dimensional Vectorial Lie Superalgebras

Here, in every simple finite-dimensional vectorial Lie superalgebra considered with the standard grading where every indeterminate is of degree 1, the maximal graded solvable subalgebras are classified over $\mathbb{C}$.

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Publication Details

Journal
Symmetry Integrability and Geometry Methods and Applications
Published
2025-06-24
DOI
https://doi.org/10.3842/sigma.2025.047
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00

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Maximal Graded Solvable Subalgebras of Simple Finite-Dimensional Vectorial Lie Superalgebras

Irina Shchepochkina
Symmetry Integrability and Geometry Methods and Applications
Advanced Topics in Algebra
article

Maximal Graded Solvable Subalgebras of Simple Finite-Dimensional Vectorial Lie Superalgebras

Irina Shchepochkina
article en

Abstract

Here, in every simple finite-dimensional vectorial Lie superalgebra considered with the standard grading where every indeterminate is of degree 1, the maximal graded solvable subalgebras are classified over $\mathbb{C}$.

Symmetry Integrability and Geometry Methods and Applications
Independent University of Moscow (RU)
Stockholms Universitet
Openalex Percentile: Top 79%
Advanced Topics in Algebra
DOIOpen Access PDFOpenAlex
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Maximal Graded Solvable Subalgebras of Simple Finite-Dimensional Vectorial Lie Superalgebras — Irina Shchepochkina · Symmetry Integrability and Geometry Methods and Applications (2025) | TGRS Research Map | TGRS