Almost all Permutations and Involutions are Kostant Negative

We prove that, when 𝑛 goes to infinity, Kostant’s problem has negative answer for almost all simple highest weight modules in the principal block of the BGG category O for the Lie algebra sl 𝑛 (ℂ).

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Publication Details

Journal
Mathematica Pannonica
Published
2025-04-21
DOI
https://doi.org/10.1556/314.2025.00006
Citations
1
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
1.50

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article

Almost all Permutations and Involutions are Kostant Negative

Volodymyr Mazorchuk
1 citations
Mathematica Pannonica
Advanced Algebra and Logic
1.50
article

Almost all Permutations and Involutions are Kostant Negative

Volodymyr Mazorchuk
article en
1 citations

Abstract

We prove that, when 𝑛 goes to infinity, Kostant’s problem has negative answer for almost all simple highest weight modules in the principal block of the BGG category O for the Lie algebra sl 𝑛 (ℂ).

Mathematica PannonicaVol. 31_NS5(1)
Uppsala University (SE)
VetenskapsrĂĄdet
Openalex Percentile: Top 18%
Advanced Algebra and Logic
1.50
DOIOpen Access PDFOpenAlex
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Almost all Permutations and Involutions are Kostant Negative — Volodymyr Mazorchuk · Mathematica Pannonica (2025) | TGRS Research Map | TGRS