Results 11 to 20 of about 107,381 (262)
Chinese Journal of Mechanical Engineering, 2021 Advanced mathematical tools are used to conduct research on the kinematics analysis of hybrid mechanisms, and the generalized analysis method and concise kinematics transfer matrix are obtained.
Peng Sun +5 more
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Cohomology theory of Lie groups and Lie algebras [PDF]
Transactions of the American Mathematical Society, 1948 The present paper lays no claim to deep originality. Its main purpose is to give a systematic treatment of the methods by which topological questions concerning compact Lie groups may be reduced to algebraic questions concerning Lie algebras(').
Samuel Eilenberg, Claude Chevalley
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Formality properties of finitely generated groups and Lie algebras [PDF]
Forum mathematicum, 2019 We explore the graded and filtered formality properties of finitely generated groups by studying the various Lie algebras over a field of characteristic 0 attached to such groups, including the Malcev Lie algebra, the associated graded Lie algebra, the ...
Suciu, Alexander I., Wang, He
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Degenerations of Lie algebras and geometry of Lie groups
Differential Geometry and its Applications, 2003 Consider the algebraic subset \({\mathcal L}\subset\bigwedge^{2}\mathfrak{g}^\ast\otimes\mathfrak{g}= \mathbb{R}^{(n^3-n^2)/2}\) of all Lie brackets on a fixed real \(n\)-dimensional vector space \(\mathfrak{g}\). Each \(\mu\in{\mathcal L}\) defines a connected and simply connected Lie group \(G_\mu\) endowed with the left invariant Riemannian metric ...
J. Lauret
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Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras [PDF]
Journal of Mathematics and Physics, 2023 This, to a large extent, expository paper describes the theory of multicomponent hierarchies of evolution equations of XKP type, where X = A, B, C, or D, and AKP = KP and their reductions, associated with the conjugacy classes of the Weyl groups of ...
V. Kac, J. van de Leur
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Algebraically generated groups and their Lie algebras [PDF]
Journal of the London Mathematical Society, 2022 The automorphism group Aut(X)$\operatorname{Aut}(X)$ of an affine variety X$X$ is an ind‐group. Its Lie algebra is canonically embedded into the Lie algebra Vec(X)$\operatorname{Vec}(X)$ of vector fields on X$X$ . We study the relations between subgroups
H. Kraft, M. Zaidenberg
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On simple modules with singular highest weights for so2l+1(K) [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 In this paper, we study formal characters of simple modules with singular highest weights over classical Lie algebras of type B over an algebraically closed field of characteristic p ≥ h, where h is the Coxeter number.
Sh.Sh. Ibraev +2 more
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On Cohomology of Simple Modules for Modular Classical Lie Algebras
Axioms, 2022 In this article, we obtain some cohomology of classical Lie algebras over an algebraically closed field of characteristic p>h, where h is a Coxeter number, with coefficients in simple modules.
Sherali S. Ibraev +2 more
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LINEARIZATION OF POISSON–LIE STRUCTURES ON THE 2D EUCLIDEAN AND (1 + 1) POINCARÉ GROUPS
Ural Mathematical Journal, 2021 The paper deals with linearization problem of Poisson-Lie structures on the \((1+1)\) Poincaré and \(2D\) Euclidean groups. We construct the explicit form of linearizing coordinates of all these Poisson-Lie structures. For this, we calculate all Poisson-
Bousselham Ganbouri +1 more
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