Free Lie algebra
In mathematics, a free Lie algebra over a field K is a Lie algebra generated by a set X, without any imposed relations other than the defining relations of alternating K-bilinearity and the Jacobi identity.
116 (number)Anatoly ShirshovBaker–Campbell–Hausdorff formulaBrunnian linkChen-Fox-Lyndon basisChen–Fox–Lyndon basisCommutator collecting processCyclotomic identityFree groupFree lie algebraFree objectGraded Lie algebraHall basisHall wordLie algebraLie operadLink groupList of theoremsList of things named after Ernst WittList of things named after Sophus LieLyndon-Shirshov basisLyndon basisLyndon wordLyndon–Shirshov basisNecklace polynomialShirshovShirshov's theoremShirshov-Witt theoremShirshov basisShirshov–Witt theoremShuffle algebraUniversal enveloping algebraWitt
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Free Lie algebra
In mathematics, a free Lie algebra over a field K is a Lie algebra generated by a set X, without any imposed relations other than the defining relations of alternating K-bilinearity and the Jacobi identity.
has abstract
In der mathematischen Theorie ...... n und Relationen konstruieren.
@de
In mathematics, a free Lie alg ...... arity and the Jacobi identity.
@en
У математичній теорії алгебр Л ...... нями подібно до задання групи.
@uk
数学において，与えられた体 K 上の自由リー環（英: free Lie algebra）は，集合 X によって何の関係も課されることなく生成されるリー環である．
@ja
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author
Guy Melançon
@en
authorlink
Anatoly Shirshov
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first
Anatoly
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Guy
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Yu.A.
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id
/S/s110100
@en
h/h110040
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h/h110050
@en
l/l058410
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last
Bakhturin
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Melançon
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Širšov
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title
Free Lie algebra over a ring
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Hall set
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Hall word
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Shirshov basis
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wikiPageUsesTemplate
hypernym
type
comment
In der mathematischen Theorie ...... n und Relationen konstruieren.
@de
In mathematics, a free Lie alg ...... arity and the Jacobi identity.
@en
У математичній теорії алгебр Л ...... нями подібно до задання групи.
@uk
数学において，与えられた体 K 上の自由リー環（英: free Lie algebra）は，集合 X によって何の関係も課されることなく生成されるリー環である．
@ja
label
Free Lie algebra
@en
Freie Lie-Algebra
@de
Вільна алгебра Лі
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自由リー環
@ja
자유 리 대수
@ko