Results 111 to 120 of about 1,969,963 (254)
Differential algebraic Lie algebras [PDF]
Transactions of the American Mathematical Society, 1979 A class of infinite-dimensional Lie algebras over the field K \mathcal {K} of constants of a universal differential field U \mathcal {U} is studied. The simplest case, defined by homogeneous linear differential equations, is analyzed in detail, and those with underlying set
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Representation of Jordan and Lie Algebras [PDF]
, 1949 Garrett Birkhoff, Philip M. Whitman
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Lie algebra of vector fields and complex structure
, 1975 It was shown by [1] (also by [2] in compact case) that the structure of a smooth manifold $M$ with countable basis is completely determined by the algebraic structure of the Lie algebra of smooth vector fields on $M$. In connection with this, K.
I. Amemiya
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Algebras and Representation Theory, 2015 29 ...
Riviere, Salim, Wagemann, Friedrich
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Elliptic multiple zeta values, Grothendieck-Teichm\"uller and mould theory
, 2019 In this article we define an elliptic double shuffle Lie algebra $ds_{ell}$ that generalizes the well-known double shuffle Lie algebra $ds$ to the elliptic situation.
Schneps, Leila
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On torsion-free abelian groups and Lie algebras [PDF]
, 1958 Richard E. Block
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, 2015 Version 3 incorporates several suggestions from the referee. The abstract and introduction have been rewritten to be more user-friendly.
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Relationship between Nichols braided Lie algebras and Nichols algebras
, 2014 We establish the relationship among Nichols algebras, Nichols braided Lie algebras and Nichols Lie algebras. We prove two results: (i) Nichols algebra $\mathfrak B(V)$ is finite-dimensional if and only if Nichols braided Lie algebra $\mathfrak L(V)$ is ...
Wu, Weicai +2 more
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Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2004 We study locally conformal symplectic structures and their generalizations from the point of view of transitive Lie algebroids. To consider l.c.s.
Roman Kadobianski, Jan Kubarski
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Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy
Abstract and Applied Analysis, 2014 With the help of the known Lie algebra, a type of new 8-dimensional matrix Lie algebra is constructed in the paper. By using the 8-dimensional matrix Lie algebra, the nonlinear integrable couplings of the Levi hierarchy and the Wadati-Konno-Ichikawa (WKI)
Zhengduo Shan, Hongwei Yang, Baoshu Yin
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