Results 21 to 30 of about 522,705 (279)

Heisenberg-Lie commutation relations in Banach algebras. [PDF]

open access: yes, 2009
Given q1, q2 ∈ ℂ { 0 }, we construct a unital Banach algebra Bq1, q2 that contains a universal normalised solution to the (q1, q2)-deformed Heisenberg-Lie commutation relations in the following specific ...
Laustsen, Niels Jakob   +1 more
core   +4 more sources

Levi Decomposition of Frobenius Lie Algebra of Dimension 6

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2022
In this paper, we study notion of the Lie algebra  of dimension 6. The finite dimensional Lie algebra can be expressed in terms of decomposition between Levi subalgebra and the maximal solvable ideal.
Henti Henti, Edi Kurniadi, Ema Carnia
doaj   +1 more source

Post-Lie algebras in Regularity Structures

open access: yesForum of Mathematics, Sigma, 2023
In this work, we construct the deformed Butcher-Connes-Kreimer Hopf algebra coming from the theory of Regularity Structures as the universal envelope of a post-Lie algebra.
Yvain Bruned, Foivos Katsetsiadis
doaj   +1 more source

On the centroid of Heisenberg Lie algebra

open access: yes四川大学学报. 自然科学版, 2023
Heisenberg Lie algebra belongs to a class of solvable Lie algebra. It has a deep physical background and thus is an important object of Lie algebra study.
YU De-Ming, MA Jie-Jing, JIANG Chan
doaj  

Generalized Reynolds Operators on Lie-Yamaguti Algebras

open access: yesAxioms, 2023
In this paper, the notion of generalized Reynolds operators on Lie-Yamaguti algebras is introduced, and the cohomology of a generalized Reynolds operator is established.
Wen Teng, Jiulin Jin, Fengshan Long
doaj   +1 more source

Embedding of a Lie algebra into Lie-admissible algebras [PDF]

open access: yesProceedings of the American Mathematical Society, 1979
Let A be a flexible Lie-admissible algebra over a field of characteristic ≠ \ne
openaire   +2 more sources

On Category of Lie Algebras

open access: yes, 2023
11 pages 0 ...
Romeo, P G, N, Arjun S
openaire   +2 more sources

Lie subalgebras of so(3,1) up to conjugacy [PDF]

open access: yesArab Journal of Mathematical Sciences, 2022
Purpose – This study aims to find all subalgebras up to conjugacy in the real simple Lie algebra so(3,1). Design/methodology/approach – The authors use Lie Algebra techniques to find all inequivalent subalgebras of so(3,1) in all dimensions.
Ryad Ghanam   +2 more
doaj   +1 more source

On the Lie Enveloping Algebra of a Post-Lie Algebra

open access: yesJournal of Lie Theory, 2015
25 ...
Ebrahimi-Fard, Kurusch   +2 more
openaire   +4 more sources

On structural aspects of finite simple groups of Lie type [PDF]

open access: yes, 2011
PhDIn this PhD thesis, we consider two problems that are related to finite simple groups of Lie type. First of them is a problem mentioned in the Kourovka notebook: describe the finite simple groups in which every element is a product of two ...
Ramo, Johanna Maria
core   +4 more sources

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