Results 31 to 40 of about 1,969,963 (254)
Categorified central extensions, \'etale Lie 2-groups and Lie's Third Theorem for locally exponential Lie algebras [PDF]
, 2011 Lie's Third Theorem, asserting that each finite-dimensional Lie algebra is the Lie algebra of a Lie group, fails in infinite dimensions. The modern account on this phenomenon is the integration problem for central extensions of infinite-dimensional Lie ...
Agore +63 more
core +2 more sources
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
doaj +1 more source
Braiding via geometric Lie algebra actions [PDF]
Compositio Mathematica, 2010 We introduce the idea of a geometric categorical Lie algebra action on derived categories of coherent sheaves. The main result is that such an action induces an action of the braid group associated to the Lie algebra.
Sabin Cautis, J. Kamnitzer
semanticscholar +1 more source
Trigonometric Lie algebras, affine Lie algebras, and vertex algebras [PDF]
Advances in Mathematics, 2020 31 ...
Qing Wang, Haisheng Li, Shaobin Tan
openaire +3 more sources
Leibniz Algebras and Lie Algebras [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 This paper concerns the algebraic structure of finite-dimensional complex Leibniz algebras. In particular, we introduce left central and symmetric Leibniz algebras, and study the poset of Lie subalgebras using an associative bilinear pairing taking values in the Leibniz kernel.
Mason, G., Yamskulna, G.
openaire +5 more sources
Post-Lie algebra structures and generalized derivations of semisimple Lie algebras [PDF]
, 2011 We study post-Lie algebra structures on pairs of Lie algebras (g,n), and prove existence results for the case that one of the Lie algebras is semisimple.
D. Burde, K. Dekimpe
semanticscholar +1 more source
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
doaj +1 more source
Abelianizations of derivation Lie algebras of the free associative algebra and the free Lie algebra [PDF]
, 2011 We determine the abelianizations of the following three kinds of graded Lie algebras in certain stable ranges: derivations of the free associative algebra, derivations of the free Lie algebra and symplectic derivations of the free associative algebra. In
S. Morita +2 more
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Symplectic structures on quadratic Lie algebras [PDF]
, 2006 We study quadratic Lie algebras over a field K of null characteristic which admit, at the same time, a symplectic structure. We see that if K is algebraically closed every such Lie algebra may be constructed as the T*-extension of a nilpotent algebra ...
Bajo, I., Benayadi, S., Medina, A.
core +2 more sources
PostLie algebra structures on the Lie algebra sl(2,C) [PDF]
, 2011 The PostLie algebra is an enriched structure of the Lie algebra that has recently arisen from operadic study. It is closely related to pre-Lie algebra, Rota-Baxter algebra, dendriform trialgebra, modified classical Yang-Baxter equations and integrable ...
Yu Pan, Qing Liu, C. Bai, Li Guo
semanticscholar +1 more source