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Unipotent

In mathematics, a unipotent element r of a ring R is one such that r − 1 is a nilpotent element; in other words, (r − 1)n is zero for some n.

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Overview

Definition

Examples

Classification of unipotent groups over characteristic 0

Unipotent radical

  • Radical Radical of an algebraic group

Decomposition of algebraic groups

Jordan decomposition

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Unipotent

Nodes58
Edges57
Triples53
Avg. degree1.97
Density0.034483
Components1

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Unipotent

Top relations

related to References · 13
Unipotent → Annals, Armand, Borel, EMS Press, EMS PressPopov, EMS PressSuprunenko, Encyclopedia, Groupes, ISBN, JSTOR, Linear, Mathematics, Second Series
related to Classification of unipotent groups over characteristic 0 · 9
Unipotent → Baker, Campbell, Hausdorff, In, Lie, Over, Recall, Then, This
related to Jordan decomposition · 6
Unipotent → Any, Chevalley, GLn, In, Jordan, There
related to Definition with ring theory · 5
Unipotent → An, Any, GLn, In, Locally
related to Characteristic 0 · 3
Unipotent → Abelian, Over, There
related to Definition with matrices · 3
Unipotent → Consider, Then, Using
related to Unipotent radical · 3
Unipotent → If, It, The
related to Characteristic p · 2
Unipotent → G/H, When
related to Definition with representation theory · 2
Unipotent → If, In
related to Gan · 2
Unipotent → Notice, The

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Important terminology

group algebraic displaystyle groups matrix characteristic matrices nilpotent element theory field mathematics mathbb affine representation radical subgroup linear elements ring

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Unipotentrelated to Characteristic 0Over0.60section
Unipotentrelated to Characteristic 0Abelian0.60section
Unipotentrelated to Characteristic 0There0.60section
Unipotentrelated to Characteristic pWhen0.60section
Unipotentrelated to Characteristic pG/H0.60section
Unipotentrelated to Classification of unipotent groups over characteristic 0Over0.60section
Unipotentrelated to Classification of unipotent groups over characteristic 0Lie0.60section
Unipotentrelated to Classification of unipotent groups over characteristic 0Recall0.60section
Unipotentrelated to Classification of unipotent groups over characteristic 0In0.60section
Unipotentrelated to Classification of unipotent groups over characteristic 0Then0.60section
Unipotentrelated to Classification of unipotent groups over characteristic 0This0.60section
Unipotentrelated to Classification of unipotent groups over characteristic 0Baker0.60section

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