Results 11 to 20 of about 1,685,782 (328)

Post-Lie algebra structures for perfect Lie algebras. [PDF]

open access: yesCommun Algebra, 2023
We study the existence of post-Lie algebra structures on pairs of Lie algebras (g,n), where one of the algebras is perfect non-semisimple, and the other one is abelian, nilpotent non-abelian, solvable non-nilpotent, simple, semisimple non-simple ...
Burde D, Dekimpe K, Monadjem M.
europepmc   +8 more sources

Rota-Baxter operators and post-Lie algebra structures on semisimple Lie algebras. [PDF]

open access: yesCommun Algebra, 2019
Rota–Baxter operators R of weight 1 on are in bijective correspondence to post-Lie algebra structures on pairs , where is complete. We use such Rota–Baxter operators to study the existence and classification of post-Lie algebra structures on pairs of Lie
Burde D, Gubarev V.
europepmc   +3 more sources

A Lie algebraic theory of barren plateaus for deep parameterized quantum circuits. [PDF]

open access: yesNat Commun, 2023
Variational quantum computing schemes train a loss function by sending an initial state through a parametrized quantum circuit, and measuring the expectation value of some operator.
Ragone M   +6 more
europepmc   +3 more sources

On cohomology of Lie algebras [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1957
for all o1, * ,an in L. This definition makes Cn(L, M) into a G-module and further ,y (8f)=6(y yf) where a is the coboundary operator: Cn(L, M) -*Cn+'(L, M) so that the cohomology groups Hn(L, M) take on the structure of a G-module. Professor Hochschild suggested to the author that he define an operation of G on the standard interpretations of the low ...
G. Leger
openalex   +3 more sources

Derivations of Lie algebras [PDF]

open access: bronzeHiroshima Mathematical Journal, 1966
The author continues to study relations between the structure of a Lie algebra and that of its derivation algebra. He generalizes results of \textit{J. Dozias} [C. R. Acad. Sci., Paris 259, 2748--2750 (1964; Zbl 0122.04004)], \textit{T. Satô} [Tôhoku Math. J., II. Ser. 17, 244--249 (1965; Zbl 0131.03201)] and the reviewer [Duke Math. J.
Shigeaki Tôgô
openalex   +7 more sources

On a class of Lie algebras [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1965
In 1958, Block constructed a new class e3 of simple Lie algebras, O(G, 8, f) [1]. Here 5 is the direct sum of a finite number of finite elementary p-groups, Go, , * * j Gn, p>2 and a=61+ * * * +& where bi is a nonzero element of Gi. Let F be a field of characteristic p. Then f is a nondegenerate skew-symmetric biadditive form defined on each Gi by fi(a,
Robert H. Oehmke
openalex   +3 more sources

Lie-Algebra of Single-Valued Pentapartitioned Neutrosophic Set [PDF]

open access: yesNeutrosophic Sets and Systems, 2022
In this article, we procure the concept of single-valued pentapartitioned neutrosophic Lie (in short SVPN-Lie) algebra under single-valued pentapartitioned neutrosophic set (in short SVPN-set) environment.
Suman Das   +3 more
doaj   +1 more source

Quantum scars as embeddings of weakly broken Lie algebra representations [PDF]

open access: yesPhysical review B, 2020
Recently, much effort has focused on understanding weak ergodicity breaking in many-body quantum systems that could lead to wavefunction revivals in their dynamics far from equilibrium.
Kieran Bull   +2 more
semanticscholar   +1 more source

A Left-Symmetric Structure on The Semi-Direct Sum Real Frobenius Lie Algebra of Dimension 8

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2022
Let  be the Lie algebra of  the semi-direct sum of the real vector space   and the Lie algebra  of the sets of all  real matrices. In this paper, a Frobenius functional is constructed in order for the Lie algebra  to be the real Frobenius Lie algebra of ...
Edi Kurniadi   +2 more
doaj   +1 more source

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