Results 61 to 70 of about 538,257 (210)
Methods of group theory in Leibniz algebras: some compelling results
The theory of Leibniz algebras has been developing quite intensively. Most of the results on the structural features of Leibniz algebras were obtained for finite-dimensional algebras and many of them over fields of characteristic zero.
I.Ya. Subbotin
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Characteristically nilpotent Lie algebras : a survey
Latex, 42 ...
Ancochea, José María +1 more
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h$h$‐Function, Hilbert–Kunz density function and Frobenius–Poincaré function
Abstract Given ideals I,J$I,J$ of a noetherian local ring (R,m)$(R, \mathfrak {m})$ such that I+J$I+J$ is m$\mathfrak {m}$‐primary and a finitely generated R$R$‐module M$M$, we associate an invariant of (M,R,I,J)$(M,R,I,J)$ called the h$h$‐function.
Cheng Meng, Alapan Mukhopadhyay
wiley +1 more source
Fuzzy Nilpotent Lie Algebras: Bases, Isomorphisms, and a Measure of Nilpotency
This paper investigates the structure of fuzzy Lie subalgebras, with particular emphasis on isomorphisms and nilpotency. Building on two prior conference contributions, one of which established foundational results on fuzzy bases of Lie algebras, we ...
Giuseppe Filippone +4 more
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Fixed algebras of residually nilpotent Lie algebras [PDF]
Let L m {L_m}
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On the integral simplicial volume of cyclic covers of mapping tori
Abstract In this paper, we investigate the asymptotic behavior of the integral simplicial volume of cyclic covers of manifolds that fiber over the circle with fiber given by an n$n$‐dimensional torus. By studying the integral filling volume—an invariant introduced by Frigerio and the first author—for the monodromy, we establish both lower and upper ...
Federica Bertolotti +1 more
wiley +1 more source
A Cornucopia of Carnot Groups in Low Dimensions
Stratified groups are those simply connected Lie groups whose Lie algebras admit a derivation for which the eigenspace with eigenvalue 1 is Lie generating.
Le Donne Enrico, Tripaldi Francesca
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Maxwell Points of Dynamical Control Systems Based on Vertical Rolling Disc—Numerical Solutions
We study two nilpotent affine control systems derived from the dynamic and control of a vertical rolling disc that is a simplification of a differential drive wheeled mobile robot.
Marek Stodola +4 more
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Crystal structure of localized quantum unipotent coordinate category
Abstract A localized quantum unipotent coordinate category C∼w${\tilde{\mathcal{C}}}_{w}$ associated with a Weyl group element w$w$ is a rigid monoidal category that is obtained by applying the localization process to the category Cw${\mathcal{C}}_{w}$, a subcategory of the category R-gmod$R\text{-}\mathrm{gmod}$ of finite‐dimensional graded modules of
Masaki Kashiwara, Toshiki Nakashima
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A Carnot group G is a connected, simply connected, nilpotent Lie group with stratified Lie algebra.We study intrinsic Lipschitz graphs and intrinsic differentiable graphs within Carnot groups.
Franchi Bruno +2 more
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