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A type B analog of the Lie representation [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We describe a type B analog of the much studied Lie representation of the symmetric group. The nth Lie representation of Sn restricts to the regular representation of Sn−1, and our generalization mimics this property.
Andrew Berget
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Groups of Extended Affine Lie Type [PDF]
Publications of the Research Institute for Mathematical Sciences, 2019 We construct certain Steinberg groups associated to extended affine Lie algebras and their root systems. Then by the integration methods of Kac and Peterson for integrable Lie algebras, we associate a group to every tame extended affine Lie algebra. Afterwards, we show that the extended affine Weyl group of the ground Lie algebra can be recovered as a ...
Saeid Azam, Amir Farahmand Parsa
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The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras
Electronic Research Archive, 2022 The main purpose of this paper is to provide a full cohomology of a Hom-pre-Lie algebra with coefficients in a given representation. This new type of cohomology exploits strongly the Hom-type structure and fits perfectly with simultaneous deformations of
Shanshan Liu +2 more
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Computing in groups of Lie type [PDF]
Mathematics of Computation, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cohen, A.M., Murray, S.H., Taylor, D.E.
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Electrical network and Lie theory [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Curtis-Ingerman-Morrow studied the space of circular planar electrical networks, and classified all possible response matrices for such networks. Lam and Pylyavskyy found a Lie group $EL_{2n}$ whose positive part $(EL_{2n})_{\geq 0}$ naturally acts on ...
Yi Su
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Cohomology of finite groups of Lie type, II [PDF]
Journal of Algebra, 1975 L’acces aux archives de la revue « Publications mathematiques de l’I.H.E.S. » (http://www. ihes.fr/IHES/Publications/Publications.html), implique l’accord avec les conditions generales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systematique est constitutive d’une infraction penale.
Cline, Edward +2 more
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Pseudo-Riemannian Lie groups admitting left-invariant conformal vector fields
Comptes Rendus. Mathématique, 2020 Let $G$ be a Lorentzian Lie group or a pseudo-Riemannian Lie group of type $(n-2,2)$. If $G$ admits a non-Killing left-invariant conformal vector field, then $G$ is solvable.
Zhang, Hui, Chen, Zhiqi
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Coadjoint semi-direct orbits and Lagrangian families with respect to Hermitian form
Revista Integración, 2023 We use the underlying structure of then coadjoint orbits of a semidirect product of a connected Lie group and a vector space to obtain families of Lagrangian submanifolds in the adjoint orbits of complex semisimple Lie groups with respect to the ...
Jhoan Báez, Luiz A.B. San Martin
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The maximal size of a minimal generating set
Forum of Mathematics, Sigma, 2023 A generating set for a finite group G is minimal if no proper subset generates G, and $m(G)$ denotes the maximal size of a minimal generating set for G. We prove a conjecture of Lucchini, Moscatiello and Spiga by showing that there exist $a,b>
Scott Harper
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FORMATION CONTROL OF MULTIPLE UNICYCLE-TYPE ROBOTS USING LIE GROUP
Acta Polytechnica, 2016 In this paper the formation control of a multi-robots system is investigated. The proposed control law, based on Lie group theory, is applied to control the formation of a group of unicycle-type robots.
Youwei Dong, Ahmed Rahmani
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