Results 21 to 30 of about 23,566 (314)
On the centroid of Heisenberg Lie algebra
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
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Generalized Reynolds Operators on Lie-Yamaguti Algebras
Axioms, 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
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Lie subalgebras of so(3,1) up to conjugacy [PDF]
Arab 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
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On the Lie Enveloping Algebra of a Post-Lie Algebra
Journal of Lie Theory, 2015 25 ...
Ebrahimi-Fard, Kurusch +2 more
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Embedding of a Lie algebra into Lie-admissible algebras [PDF]
Proceedings of the American Mathematical Society, 1979 Let A be a flexible Lie-admissible algebra over a field of characteristic ≠ \ne
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An atavistic Lie algebra [PDF]
Physics Letters B, 2006 An infinite-dimensional Lie Algebra is proposed which includes, in its subalgebras and limits, most Lie Algebras routinely utilized in physics. It relies on the finite oscillator Lie group, and appears applicable to twisted noncommutative QFT and CFT.
Fairlie, D. B., Zachos, C. K.
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Post-Lie Algebra Structures on the Lie Algebra gl(2,C)
Abstract and Applied Analysis, 2013 The post-Lie algebra is an enriched structure of the Lie algebra. We give a complete classification of post-Lie algebra structures on the Lie algebra gl(2,C) up to isomorphism.
Yuqiu Sheng, Xiaomin Tang
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LIE ALGEBRA PREDERIVATIONS AND STRONGLY NILPOTENT LIE ALGEBRAS [PDF]
Communications in Algebra, 2002 We study Lie algebra prederivations. A Lie algebra admitting a non-singular prederivation is nilpotent. We classify filiform Lie algebras admitting a non-singular prederivation but no non-singular derivation. We prove that any 4-step nilpotent Lie algebra admits a non-singular prederivation.
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Two Generator Subalgebras Of Lie Algebras. [PDF]
, 2007 In [14] Thompson showed that a finite group G is solvable if and only if every twogenerated subgroup is solvable (Corollary 2, p. 388). Recently, Grunevald et al.
Kevin Bowman +5 more
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