On a Lower Central Series Filtration of the Grothendieck–Teichmüller Lie algebra 𝔤𝔯𝔱1
نویسندگان
چکیده
منابع مشابه
On dimensions of derived algebra and central factor of a Lie algebra
Some Lie algebra analogues of Schur's theorem and its converses are presented. As a result, it is shown that for a capable Lie algebra L we always have dim L=Z(L) 2(dim(L2))2. We also give give some examples sup- porting our results.
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We study the cohomology H(A) = Ext∗A(k, k) of a locally finite, connected, cocommutative Hopf algebra A over k = Fp. Specifically, we are interested in those algebras A for which H∗(A) is generated as an algebra by H(A) and H(A). We shall call such algebras semi-Koszul. Given a central extension of Hopf algebras F → A → B with F monogenic and B semiKoszul, we use the Cartan-Eilenberg spectral s...
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نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولon dimensions of derived algebra and central factor of a lie algebra
some lie algebra analogues of schur's theorem and its converses are presented. as a result, it is shown that for a capable lie algebra l we always have dim l=z(l) 2(dim(l2))2. we also give give some examples sup- porting our results.
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In the present paper, we prove that if L is a nilpotent Lie algebra whose proper subalge- bras are all nilpotent of class at most n, then the class of L is at most bnd=(d 1)c, where b c denotes the integral part and d is the minimal number of generators of L.
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ژورنال
عنوان ژورنال: Moscow Mathematical Journal
سال: 2015
ISSN: 1609-3321,1609-4514
DOI: 10.17323/1609-4514-2015-15-2-205-256