Results 21 to 30 of about 27,512 (159)
Meander Graphs and Frobenius Seaweed Lie Algebras II [PDF]
Journal of Generalized Lie Theory and Applications, 2015 We provide a recursive classification of meander graphs, showing that each meander is identified by a unique sequence of fundamental graph theoretic moves. This sequence is called the meander’s signature and can be used to construct arbitrarily large sets of meanders, Frobenius or otherwise, of any size and configuration.
Coll, Vincent +3 more
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Journal of Physics: Conference Series, 2021 Abstract In this present paper, we study real Frobenius Lie algebras constructed from non-commutative nilpotent Lie algebras of dimension ≤ 4. The main purpose is to obtain Frobenius Lie algebras of dimension ≤ 6. Particularly, for a given non-commutative nilpotent Lie algebras N of dimension ≤ 4 we show that there exist commutative ...
E Kurniadi, E Carnia, A K Supriatna
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Frobenius groups of automorphisms and their fixed points [PDF]
, 2010 Suppose that a finite group $G$ admits a Frobenius group of automorphisms $FH$ with kernel $F$ and complement $H$ such that the fixed-point subgroup of $F$ is trivial: $C_G(F)=1$.
Belyaev V. V. +10 more
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Quasi-Frobenius-Lusztig kernels for simple Lie algebras
Transactions of the American Mathematical Society, 2016 In the first author’s Math. Res. Lett. paper (2014), the quasi-Frobenius-Lusztig kernel associated with s l 2 \mathfrak {sl}_{2} was constructed. In this paper we construct the quasi-Frobenius-Lusztig kernels associated with any simple Lie algebra g ...
Liu, Gongxiang +2 more
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Deformation theory of representations of prop(erad)s [PDF]
, 2008 We study the deformation theory of morphisms of properads and props thereby extending to a non-linear framework Quillen's deformation theory for commutative rings. The associated chain complex is endowed with a Lie algebra up to homotopy structure.
Bruno Vallette +2 more
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The evolution of the spectrum of a Frobenius Lie algebra under deformation [PDF]
Communications in Algebra, 2021 The category of Frobenius Lie algebras is stable under deformation, and here we examine explicit infinitesimal deformations of four and six dimensional Frobenius Lie algebras with the goal of understanding if the spectrum of a Frobenius Lie algebra can evolve under deformation. It can.
Coll, Jr., Vincent E. +2 more
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Lie algebras with Frobenius dihedral groups of automorphisms
Journal of Algebra, 2023 Suppose that a Lie algebra $L$ admits a finite Frobenius group of automorphisms $FH$ with cyclic kernel $F$ and complement $H$ of order 2, such that the fixed-point subalgebra of $F$ is trivial and the fixed-point subalgebra of $H$ is metabelian. Then the derived length of $L$ is bounded by a constant.
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Hom-O-Operators and Hom-Yang-Baxter Equations
Advances in Mathematical Physics, 2015 In Hom-Lie set, we introduce the concept of Hom-O-operators and study its relation with classical Hom-Yang-Baxter equation, as well as left-symmetric Hom-algebras.
Yuanyuan Chen, Liangyun Zhang
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On F-Algebroids and Dubrovin's Duality [PDF]
, 2019 In this note we introduce the concept of F-algebroid, and give its elementary properties and some examples. We provide a description of the almost duality for Frobenius manifolds, introduced by Dubrovin, in terms of a composition of two anchor maps of a ...
Morales, John Alexander Cruz +1 more
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Klasifikasi Aljabar Lie Forbenius-Quasi Dari Aljabar Lie Filiform Berdimensi ≤ 5
Jambura Journal of MathematicsIn this research, we studied quasi-Frobenius Lie algebras and filiform Lie algebras of dimensions ≤ 5 over real field. The primary objective of this research is to classify the classification of filiform Lie algebras of dimensions ≤ 5 into quasi ...
Putri Nisa Pratiwi +2 more
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