Simple left-symmetric algebras with solvable Lie algebra.

Dietrich Burde

Displaying similar documents to “Simple left-symmetric algebras with solvable Lie algebra.”

Product decompositions of solvable Lie groups.

Michael Wüstner (1996)

Manuscripta mathematica

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Invariant cones in solvable Lie algebras.

Detlev Poguntke (1992)

Mathematische Zeitschrift

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On the Derived Length of Solvable Lie Algebras.

Helmut Strade, Rolf Farnsteiner (1988)

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Banach algebras associated with Laplacians on solvable Lie groups and injectivity of the Harish-Chandra transform

Detlev Poguntke (2010)

Colloquium Mathematicae

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For any connected Lie group G and any Laplacian Λ = X²₁ + ⋯ + X²ₙ ∈ 𝔘𝔤 (X₁,...,Xₙ being a basis of 𝔤) one can define the commutant 𝔅 = 𝔅(Λ) of Λ in the convolution algebra ℒ¹(G) as well as the commutant ℭ(Λ) in the group C*-algebra C*(G). Both are involutive Banach algebras. We study these algebras in the case of a "distinguished Laplacian" on the "Iwasawa part AN" of a semisimple Lie group. One obtains a fairly good description of these algebras by objects derived from the semisimple...

Some Theorems on Saturated Homomorphs of Soluble Lie Algebras.

Donald W. Barnes, Martin L. Newell (1970)

Mathematische Zeitschrift

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Lie algebras all of whose subalgebras are supersolvable.

Alberto C. Elduque Palomo, Vicente R. Varea Agudo (1986)

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A Lie algebra L is said to be minimal non supersolvable if all its subalgebras, except L itself, are supersolvable.

Covering-Avoidance for Satured Formations of Solvable Lie Algebras.

Ernest L. Stitzinger (1972)

Mathematische Zeitschrift

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Lie solvable groups algebras of derived length three.

Meena Sahai (1995)

Publicacions Matemàtiques

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Let K be a field of characteristic p > 2 and let G be a group. Necessary and sufficient conditions are obtained so that the group algebra KG is strongly Lie solvable of derived length at most 3. It is also shown that these conditions are equivalent to KG Lie solvable of derived length 3 in characteristic p ≥ 7.